# Highest Common Factor of 426, 576 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 426, 576 i.e. 6 the largest integer that leaves a remainder zero for all numbers.

HCF of 426, 576 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 426, 576 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 426, 576 is 6.

HCF(426, 576) = 6

## HCF of 426, 576 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 426, 576 is 6. ### Highest Common Factor of 426,576 is 6

Step 1: Since 576 > 426, we apply the division lemma to 576 and 426, to get

576 = 426 x 1 + 150

Step 2: Since the reminder 426 ≠ 0, we apply division lemma to 150 and 426, to get

426 = 150 x 2 + 126

Step 3: We consider the new divisor 150 and the new remainder 126, and apply the division lemma to get

150 = 126 x 1 + 24

We consider the new divisor 126 and the new remainder 24,and apply the division lemma to get

126 = 24 x 5 + 6

We consider the new divisor 24 and the new remainder 6,and apply the division lemma to get

24 = 6 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 426 and 576 is 6

Notice that 6 = HCF(24,6) = HCF(126,24) = HCF(150,126) = HCF(426,150) = HCF(576,426) .

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### Frequently Asked Questions on HCF of 426, 576 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 426, 576?

Answer: HCF of 426, 576 is 6 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 426, 576 using Euclid's Algorithm?

Answer: For arbitrary numbers 426, 576 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.