Highest Common Factor of 8776, 5107 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 8776, 5107 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8776, 5107 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 8776, 5107 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 8776, 5107 is 1.

HCF(8776, 5107) = 1

HCF of 8776, 5107 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 8776, 5107 is 1.

Highest Common Factor of 8776,5107 using Euclid's algorithm

Highest Common Factor of 8776,5107 is 1

Step 1: Since 8776 > 5107, we apply the division lemma to 8776 and 5107, to get

8776 = 5107 x 1 + 3669

Step 2: Since the reminder 5107 ≠ 0, we apply division lemma to 3669 and 5107, to get

5107 = 3669 x 1 + 1438

Step 3: We consider the new divisor 3669 and the new remainder 1438, and apply the division lemma to get

3669 = 1438 x 2 + 793

We consider the new divisor 1438 and the new remainder 793,and apply the division lemma to get

1438 = 793 x 1 + 645

We consider the new divisor 793 and the new remainder 645,and apply the division lemma to get

793 = 645 x 1 + 148

We consider the new divisor 645 and the new remainder 148,and apply the division lemma to get

645 = 148 x 4 + 53

We consider the new divisor 148 and the new remainder 53,and apply the division lemma to get

148 = 53 x 2 + 42

We consider the new divisor 53 and the new remainder 42,and apply the division lemma to get

53 = 42 x 1 + 11

We consider the new divisor 42 and the new remainder 11,and apply the division lemma to get

42 = 11 x 3 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8776 and 5107 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(42,11) = HCF(53,42) = HCF(148,53) = HCF(645,148) = HCF(793,645) = HCF(1438,793) = HCF(3669,1438) = HCF(5107,3669) = HCF(8776,5107) .

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Frequently Asked Questions on HCF of 8776, 5107 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 8776, 5107?

Answer: HCF of 8776, 5107 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8776, 5107 using Euclid's Algorithm?

Answer: For arbitrary numbers 8776, 5107 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.