Highest Common Factor of 656, 396, 943 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 656, 396, 943 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 656, 396, 943 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 656, 396, 943 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 656, 396, 943 is 1.

HCF(656, 396, 943) = 1

HCF of 656, 396, 943 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 656, 396, 943 is 1.

Highest Common Factor of 656,396,943 using Euclid's algorithm

Highest Common Factor of 656,396,943 is 1

Step 1: Since 656 > 396, we apply the division lemma to 656 and 396, to get

656 = 396 x 1 + 260

Step 2: Since the reminder 396 ≠ 0, we apply division lemma to 260 and 396, to get

396 = 260 x 1 + 136

Step 3: We consider the new divisor 260 and the new remainder 136, and apply the division lemma to get

260 = 136 x 1 + 124

We consider the new divisor 136 and the new remainder 124,and apply the division lemma to get

136 = 124 x 1 + 12

We consider the new divisor 124 and the new remainder 12,and apply the division lemma to get

124 = 12 x 10 + 4

We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get

12 = 4 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 656 and 396 is 4

Notice that 4 = HCF(12,4) = HCF(124,12) = HCF(136,124) = HCF(260,136) = HCF(396,260) = HCF(656,396) .

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

Step 1: Since 943 > 4, we apply the division lemma to 943 and 4, to get

943 = 4 x 235 + 3

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get

4 = 3 x 1 + 1

Step 3: 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 4 and 943 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(943,4) .

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Frequently Asked Questions on HCF of 656, 396, 943 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 656, 396, 943?

Answer: HCF of 656, 396, 943 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 656, 396, 943 using Euclid's Algorithm?

Answer: For arbitrary numbers 656, 396, 943 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.