Highest Common Factor of 7712, 4813 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 7712, 4813 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7712, 4813 is 1 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 7712, 4813 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 7712, 4813 is 1.

HCF(7712, 4813) = 1

HCF of 7712, 4813 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 7712, 4813 is 1.

Highest Common Factor of 7712,4813 using Euclid's algorithm

Highest Common Factor of 7712,4813 is 1

Step 1: Since 7712 > 4813, we apply the division lemma to 7712 and 4813, to get

7712 = 4813 x 1 + 2899

Step 2: Since the reminder 4813 ≠ 0, we apply division lemma to 2899 and 4813, to get

4813 = 2899 x 1 + 1914

Step 3: We consider the new divisor 2899 and the new remainder 1914, and apply the division lemma to get

2899 = 1914 x 1 + 985

We consider the new divisor 1914 and the new remainder 985,and apply the division lemma to get

1914 = 985 x 1 + 929

We consider the new divisor 985 and the new remainder 929,and apply the division lemma to get

985 = 929 x 1 + 56

We consider the new divisor 929 and the new remainder 56,and apply the division lemma to get

929 = 56 x 16 + 33

We consider the new divisor 56 and the new remainder 33,and apply the division lemma to get

56 = 33 x 1 + 23

We consider the new divisor 33 and the new remainder 23,and apply the division lemma to get

33 = 23 x 1 + 10

We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get

23 = 10 x 2 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7712 and 4813 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(33,23) = HCF(56,33) = HCF(929,56) = HCF(985,929) = HCF(1914,985) = HCF(2899,1914) = HCF(4813,2899) = HCF(7712,4813) .

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Frequently Asked Questions on HCF of 7712, 4813 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 7712, 4813?

Answer: HCF of 7712, 4813 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7712, 4813 using Euclid's Algorithm?

Answer: For arbitrary numbers 7712, 4813 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.