Highest Common Factor of 935, 642 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 935, 642 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 935, 642 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 935, 642 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 935, 642 is 1.

HCF(935, 642) = 1

HCF of 935, 642 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 935, 642 is 1.

Highest Common Factor of 935,642 using Euclid's algorithm

Highest Common Factor of 935,642 is 1

Step 1: Since 935 > 642, we apply the division lemma to 935 and 642, to get

935 = 642 x 1 + 293

Step 2: Since the reminder 642 ≠ 0, we apply division lemma to 293 and 642, to get

642 = 293 x 2 + 56

Step 3: We consider the new divisor 293 and the new remainder 56, and apply the division lemma to get

293 = 56 x 5 + 13

We consider the new divisor 56 and the new remainder 13,and apply the division lemma to get

56 = 13 x 4 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 935 and 642 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(56,13) = HCF(293,56) = HCF(642,293) = HCF(935,642) .

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Frequently Asked Questions on HCF of 935, 642 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 935, 642?

Answer: HCF of 935, 642 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 935, 642 using Euclid's Algorithm?

Answer: For arbitrary numbers 935, 642 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.