# Highest Common Factor of 744, 486 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 744, 486 i.e. 6 the largest integer that leaves a remainder zero for all numbers.

HCF of 744, 486 is 6 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 744, 486 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 744, 486 is 6.

HCF(744, 486) = 6

## HCF of 744, 486 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 744, 486 is 6. ### Highest Common Factor of 744,486 is 6

Step 1: Since 744 > 486, we apply the division lemma to 744 and 486, to get

744 = 486 x 1 + 258

Step 2: Since the reminder 486 ≠ 0, we apply division lemma to 258 and 486, to get

486 = 258 x 1 + 228

Step 3: We consider the new divisor 258 and the new remainder 228, and apply the division lemma to get

258 = 228 x 1 + 30

We consider the new divisor 228 and the new remainder 30,and apply the division lemma to get

228 = 30 x 7 + 18

We consider the new divisor 30 and the new remainder 18,and apply the division lemma to get

30 = 18 x 1 + 12

We consider the new divisor 18 and the new remainder 12,and apply the division lemma to get

18 = 12 x 1 + 6

We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get

12 = 6 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 744 and 486 is 6

Notice that 6 = HCF(12,6) = HCF(18,12) = HCF(30,18) = HCF(228,30) = HCF(258,228) = HCF(486,258) = HCF(744,486) .

### HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

### Frequently Asked Questions on HCF of 744, 486 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 744, 486?

Answer: HCF of 744, 486 is 6 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 744, 486 using Euclid's Algorithm?

Answer: For arbitrary numbers 744, 486 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.