Highest Common Factor of 638, 232, 893 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 638, 232, 893 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 638, 232, 893 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 638, 232, 893 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 638, 232, 893 is 1.

HCF(638, 232, 893) = 1

HCF of 638, 232, 893 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 638, 232, 893 is 1.

Highest Common Factor of 638,232,893 using Euclid's algorithm

Highest Common Factor of 638,232,893 is 1

Step 1: Since 638 > 232, we apply the division lemma to 638 and 232, to get

638 = 232 x 2 + 174

Step 2: Since the reminder 232 ≠ 0, we apply division lemma to 174 and 232, to get

232 = 174 x 1 + 58

Step 3: We consider the new divisor 174 and the new remainder 58, and apply the division lemma to get

174 = 58 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 58, the HCF of 638 and 232 is 58

Notice that 58 = HCF(174,58) = HCF(232,174) = HCF(638,232) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 893 > 58, we apply the division lemma to 893 and 58, to get

893 = 58 x 15 + 23

Step 2: Since the reminder 58 ≠ 0, we apply division lemma to 23 and 58, to get

58 = 23 x 2 + 12

Step 3: We consider the new divisor 23 and the new remainder 12, and apply the division lemma to get

23 = 12 x 1 + 11

We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get

12 = 11 x 1 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 58 and 893 is 1

Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(23,12) = HCF(58,23) = HCF(893,58) .

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Frequently Asked Questions on HCF of 638, 232, 893 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 638, 232, 893?

Answer: HCF of 638, 232, 893 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 638, 232, 893 using Euclid's Algorithm?

Answer: For arbitrary numbers 638, 232, 893 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.