Highest Common Factor of 634, 875 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 634, 875 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 634, 875 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 634, 875 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 634, 875 is 1.

HCF(634, 875) = 1

HCF of 634, 875 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 634, 875 is 1.

Highest Common Factor of 634,875 using Euclid's algorithm

Highest Common Factor of 634,875 is 1

Step 1: Since 875 > 634, we apply the division lemma to 875 and 634, to get

875 = 634 x 1 + 241

Step 2: Since the reminder 634 ≠ 0, we apply division lemma to 241 and 634, to get

634 = 241 x 2 + 152

Step 3: We consider the new divisor 241 and the new remainder 152, and apply the division lemma to get

241 = 152 x 1 + 89

We consider the new divisor 152 and the new remainder 89,and apply the division lemma to get

152 = 89 x 1 + 63

We consider the new divisor 89 and the new remainder 63,and apply the division lemma to get

89 = 63 x 1 + 26

We consider the new divisor 63 and the new remainder 26,and apply the division lemma to get

63 = 26 x 2 + 11

We consider the new divisor 26 and the new remainder 11,and apply the division lemma to get

26 = 11 x 2 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 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 634 and 875 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(26,11) = HCF(63,26) = HCF(89,63) = HCF(152,89) = HCF(241,152) = HCF(634,241) = HCF(875,634) .

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Frequently Asked Questions on HCF of 634, 875 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 634, 875?

Answer: HCF of 634, 875 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 634, 875 using Euclid's Algorithm?

Answer: For arbitrary numbers 634, 875 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.