Highest Common Factor of 832, 608, 371 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 832, 608, 371 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 832, 608, 371 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 832, 608, 371 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 832, 608, 371 is 1.

HCF(832, 608, 371) = 1

HCF of 832, 608, 371 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 832, 608, 371 is 1.

Highest Common Factor of 832,608,371 using Euclid's algorithm

Highest Common Factor of 832,608,371 is 1

Step 1: Since 832 > 608, we apply the division lemma to 832 and 608, to get

832 = 608 x 1 + 224

Step 2: Since the reminder 608 ≠ 0, we apply division lemma to 224 and 608, to get

608 = 224 x 2 + 160

Step 3: We consider the new divisor 224 and the new remainder 160, and apply the division lemma to get

224 = 160 x 1 + 64

We consider the new divisor 160 and the new remainder 64,and apply the division lemma to get

160 = 64 x 2 + 32

We consider the new divisor 64 and the new remainder 32,and apply the division lemma to get

64 = 32 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 32, the HCF of 832 and 608 is 32

Notice that 32 = HCF(64,32) = HCF(160,64) = HCF(224,160) = HCF(608,224) = HCF(832,608) .

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

Step 1: Since 371 > 32, we apply the division lemma to 371 and 32, to get

371 = 32 x 11 + 19

Step 2: Since the reminder 32 ≠ 0, we apply division lemma to 19 and 32, to get

32 = 19 x 1 + 13

Step 3: We consider the new divisor 19 and the new remainder 13, and apply the division lemma to get

19 = 13 x 1 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 32 and 371 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(19,13) = HCF(32,19) = HCF(371,32) .

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Frequently Asked Questions on HCF of 832, 608, 371 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 832, 608, 371?

Answer: HCF of 832, 608, 371 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 832, 608, 371 using Euclid's Algorithm?

Answer: For arbitrary numbers 832, 608, 371 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.