Highest Common Factor of 964, 270, 687 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 964, 270, 687 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 964, 270, 687 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 964, 270, 687 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 964, 270, 687 is 1.

HCF(964, 270, 687) = 1

HCF of 964, 270, 687 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 964, 270, 687 is 1.

Highest Common Factor of 964,270,687 using Euclid's algorithm

Highest Common Factor of 964,270,687 is 1

Step 1: Since 964 > 270, we apply the division lemma to 964 and 270, to get

964 = 270 x 3 + 154

Step 2: Since the reminder 270 ≠ 0, we apply division lemma to 154 and 270, to get

270 = 154 x 1 + 116

Step 3: We consider the new divisor 154 and the new remainder 116, and apply the division lemma to get

154 = 116 x 1 + 38

We consider the new divisor 116 and the new remainder 38,and apply the division lemma to get

116 = 38 x 3 + 2

We consider the new divisor 38 and the new remainder 2,and apply the division lemma to get

38 = 2 x 19 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 964 and 270 is 2

Notice that 2 = HCF(38,2) = HCF(116,38) = HCF(154,116) = HCF(270,154) = HCF(964,270) .

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

Step 1: Since 687 > 2, we apply the division lemma to 687 and 2, to get

687 = 2 x 343 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 687 is 1

Notice that 1 = HCF(2,1) = HCF(687,2) .

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Frequently Asked Questions on HCF of 964, 270, 687 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 964, 270, 687?

Answer: HCF of 964, 270, 687 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 964, 270, 687 using Euclid's Algorithm?

Answer: For arbitrary numbers 964, 270, 687 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.