Highest Common Factor of 875, 70639 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 875, 70639 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 875, 70639 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 875, 70639 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 875, 70639 is 1.

HCF(875, 70639) = 1

HCF of 875, 70639 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 875, 70639 is 1.

Highest Common Factor of 875,70639 using Euclid's algorithm

Highest Common Factor of 875,70639 is 1

Step 1: Since 70639 > 875, we apply the division lemma to 70639 and 875, to get

70639 = 875 x 80 + 639

Step 2: Since the reminder 875 ≠ 0, we apply division lemma to 639 and 875, to get

875 = 639 x 1 + 236

Step 3: We consider the new divisor 639 and the new remainder 236, and apply the division lemma to get

639 = 236 x 2 + 167

We consider the new divisor 236 and the new remainder 167,and apply the division lemma to get

236 = 167 x 1 + 69

We consider the new divisor 167 and the new remainder 69,and apply the division lemma to get

167 = 69 x 2 + 29

We consider the new divisor 69 and the new remainder 29,and apply the division lemma to get

69 = 29 x 2 + 11

We consider the new divisor 29 and the new remainder 11,and apply the division lemma to get

29 = 11 x 2 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 875 and 70639 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(29,11) = HCF(69,29) = HCF(167,69) = HCF(236,167) = HCF(639,236) = HCF(875,639) = HCF(70639,875) .

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Frequently Asked Questions on HCF of 875, 70639 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 875, 70639?

Answer: HCF of 875, 70639 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 875, 70639 using Euclid's Algorithm?

Answer: For arbitrary numbers 875, 70639 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.