Highest Common Factor of 959, 2316, 1210 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 959, 2316, 1210 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 959, 2316, 1210 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 959, 2316, 1210 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 959, 2316, 1210 is 1.

HCF(959, 2316, 1210) = 1

HCF of 959, 2316, 1210 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 959, 2316, 1210 is 1.

Highest Common Factor of 959,2316,1210 using Euclid's algorithm

Highest Common Factor of 959,2316,1210 is 1

Step 1: Since 2316 > 959, we apply the division lemma to 2316 and 959, to get

2316 = 959 x 2 + 398

Step 2: Since the reminder 959 ≠ 0, we apply division lemma to 398 and 959, to get

959 = 398 x 2 + 163

Step 3: We consider the new divisor 398 and the new remainder 163, and apply the division lemma to get

398 = 163 x 2 + 72

We consider the new divisor 163 and the new remainder 72,and apply the division lemma to get

163 = 72 x 2 + 19

We consider the new divisor 72 and the new remainder 19,and apply the division lemma to get

72 = 19 x 3 + 15

We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get

19 = 15 x 1 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

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 959 and 2316 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(72,19) = HCF(163,72) = HCF(398,163) = HCF(959,398) = HCF(2316,959) .

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

Step 1: Since 1210 > 1, we apply the division lemma to 1210 and 1, to get

1210 = 1 x 1210 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1210 is 1

Notice that 1 = HCF(1210,1) .

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Frequently Asked Questions on HCF of 959, 2316, 1210 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 959, 2316, 1210?

Answer: HCF of 959, 2316, 1210 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 959, 2316, 1210 using Euclid's Algorithm?

Answer: For arbitrary numbers 959, 2316, 1210 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.