Highest Common Factor of 8765, 7911 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 8765, 7911 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8765, 7911 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 8765, 7911 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 8765, 7911 is 1.

HCF(8765, 7911) = 1

HCF of 8765, 7911 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 8765, 7911 is 1.

Highest Common Factor of 8765,7911 using Euclid's algorithm

Highest Common Factor of 8765,7911 is 1

Step 1: Since 8765 > 7911, we apply the division lemma to 8765 and 7911, to get

8765 = 7911 x 1 + 854

Step 2: Since the reminder 7911 ≠ 0, we apply division lemma to 854 and 7911, to get

7911 = 854 x 9 + 225

Step 3: We consider the new divisor 854 and the new remainder 225, and apply the division lemma to get

854 = 225 x 3 + 179

We consider the new divisor 225 and the new remainder 179,and apply the division lemma to get

225 = 179 x 1 + 46

We consider the new divisor 179 and the new remainder 46,and apply the division lemma to get

179 = 46 x 3 + 41

We consider the new divisor 46 and the new remainder 41,and apply the division lemma to get

46 = 41 x 1 + 5

We consider the new divisor 41 and the new remainder 5,and apply the division lemma to get

41 = 5 x 8 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8765 and 7911 is 1

Notice that 1 = HCF(5,1) = HCF(41,5) = HCF(46,41) = HCF(179,46) = HCF(225,179) = HCF(854,225) = HCF(7911,854) = HCF(8765,7911) .

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Frequently Asked Questions on HCF of 8765, 7911 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 8765, 7911?

Answer: HCF of 8765, 7911 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8765, 7911 using Euclid's Algorithm?

Answer: For arbitrary numbers 8765, 7911 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.