Highest Common Factor of 4776, 2932 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 4776, 2932 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 4776, 2932 is 4 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 4776, 2932 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 4776, 2932 is 4.

HCF(4776, 2932) = 4

HCF of 4776, 2932 using Euclid's algorithm

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

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Highest common factor (HCF) of 4776, 2932 is 4.

Highest Common Factor of 4776,2932 using Euclid's algorithm

Highest Common Factor of 4776,2932 is 4

Step 1: Since 4776 > 2932, we apply the division lemma to 4776 and 2932, to get

4776 = 2932 x 1 + 1844

Step 2: Since the reminder 2932 ≠ 0, we apply division lemma to 1844 and 2932, to get

2932 = 1844 x 1 + 1088

Step 3: We consider the new divisor 1844 and the new remainder 1088, and apply the division lemma to get

1844 = 1088 x 1 + 756

We consider the new divisor 1088 and the new remainder 756,and apply the division lemma to get

1088 = 756 x 1 + 332

We consider the new divisor 756 and the new remainder 332,and apply the division lemma to get

756 = 332 x 2 + 92

We consider the new divisor 332 and the new remainder 92,and apply the division lemma to get

332 = 92 x 3 + 56

We consider the new divisor 92 and the new remainder 56,and apply the division lemma to get

92 = 56 x 1 + 36

We consider the new divisor 56 and the new remainder 36,and apply the division lemma to get

56 = 36 x 1 + 20

We consider the new divisor 36 and the new remainder 20,and apply the division lemma to get

36 = 20 x 1 + 16

We consider the new divisor 20 and the new remainder 16,and apply the division lemma to get

20 = 16 x 1 + 4

We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get

16 = 4 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4776 and 2932 is 4

Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(36,20) = HCF(56,36) = HCF(92,56) = HCF(332,92) = HCF(756,332) = HCF(1088,756) = HCF(1844,1088) = HCF(2932,1844) = HCF(4776,2932) .

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Frequently Asked Questions on HCF of 4776, 2932 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 4776, 2932?

Answer: HCF of 4776, 2932 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4776, 2932 using Euclid's Algorithm?

Answer: For arbitrary numbers 4776, 2932 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.