## How do you find the HCF of Class 6?

First, find all the factors of the given numbers individually. We see that the common factors of 18, 24 and 42 are 1, 2, 3 and 6. Since 6 is the highest of these common factors. Therefore, HCF of 18, 24 and 42 is 6.

**How do you find the HCF and LCM problems?**

When we have to find a number larger than given numbers, then we find LCM. If we have to find smaller number, then we find HCF .

### What is LCM in maths for Class 6?

The Lowest Common Multiple (LCM) of two or more given numbers is the lowest (or smallest or least) of their common multiples. If two numbers are co-prime then the LCM is the product of the two numbers. Find the LCM of 7 and 13. So, LCM is 7 x 13 = 91.

**What is the HCF of 12 and 18?**

Answer: HCF of 12 and 18 is 6.

#### What is the LCM and HCF of 6 and 20?

LCM of 6 and 20 by Prime Factorization LCM of 6 and 20 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 22 × 31 × 51 = 60. Hence, the LCM of 6 and 20 by prime factorization is 60.

**What is the HCF of 12?**

Factors of 12 = 1, 2, 3, 4, 6 and 12. Factors of 18 = 1, 2, 3, 6, 9 and 18. Therefore, common factor of 12 and 18 = 1, 2, 3 and 6. Highest common factor (H.C.F) of 12 and 18 = 6 [since 6 is the highest common factor].

## What is the HCF of 81?

To find the HCF of 81 and 237, we will find the prime factorization of the given numbers, i.e. 81 = 3 × 3 × 3 × 3; 237 = 3 × 79. ⇒ Since 3 is the only common prime factor of 81 and 237. Hence, HCF (81, 237) = 3.

**How do you do HCF problems?**

The highest common factor is found by multiplying all the factors which appear in both lists: So the HCF of 60 and 72 is 2 × 2 × 3 which is 12. The lowest common multiple is found by multiplying all the factors which appear in either list: So the LCM of 60 and 72 is 2 × 2 × 2 × 3 × 3 × 5 which is 360.

### What is the LCM of 7 14 and 21?

42

Answer: LCM of 7, 14, and 21 is 42.

**What is the LCM of 6 11?**

66

Answer: LCM of 6 and 11 is 66.

#### How to solve a HCF and LCM word problem?

HCF and LCM Word Problems : In this section, we will learn how to solve word problems involving highest common factor and lowest common multiple. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together? (excluding the one at start)

**How to get remainder 4 in HCF and LCM?**

In order to get remainder 4 in each case, we will add 4 to the LCM. So, the number is 1386 + 4 = 1390. Example 3: Find the least number which when divided by 8, 12, 20 and 36 leaves remainders 6, 10, 18 and 34 respectively. Sol: Here, the numbers are 8, 12, 20 and 36 and the respective remainders are 6, 10, 18 and 34.

## Which is the most common factor HCF or LCM?

Let’s proceed to the highest common factor (HCF) and the least common multiple (LCM). As the rules of mathematics dictate, the greatest common divisor or the gcd of two or more integers, when at least one of them is not zero, happens to be the largest positive that divides the numbers without a remainder.

**When to use HCF to find the answer?**

For answering the question, you need to take the difference of the three pairs of numbers, now the HCF of these differences will become the answer e.g. if you have to find the greatest number, which when divides 83, 93 and 113 and leaves the same remainder.