Highest Common Factor of 961, 286, 297 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 961, 286, 297 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 961, 286, 297 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 961, 286, 297 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 961, 286, 297 is 1.

HCF(961, 286, 297) = 1

HCF of 961, 286, 297 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 961, 286, 297 is 1.

Highest Common Factor of 961,286,297 using Euclid's algorithm

Highest Common Factor of 961,286,297 is 1

Step 1: Since 961 > 286, we apply the division lemma to 961 and 286, to get

961 = 286 x 3 + 103

Step 2: Since the reminder 286 ≠ 0, we apply division lemma to 103 and 286, to get

286 = 103 x 2 + 80

Step 3: We consider the new divisor 103 and the new remainder 80, and apply the division lemma to get

103 = 80 x 1 + 23

We consider the new divisor 80 and the new remainder 23,and apply the division lemma to get

80 = 23 x 3 + 11

We consider the new divisor 23 and the new remainder 11,and apply the division lemma to get

23 = 11 x 2 + 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 961 and 286 is 1

Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(80,23) = HCF(103,80) = HCF(286,103) = HCF(961,286) .

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

Step 1: Since 297 > 1, we apply the division lemma to 297 and 1, to get

297 = 1 x 297 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 297 is 1

Notice that 1 = HCF(297,1) .

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Frequently Asked Questions on HCF of 961, 286, 297 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 961, 286, 297?

Answer: HCF of 961, 286, 297 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 961, 286, 297 using Euclid's Algorithm?

Answer: For arbitrary numbers 961, 286, 297 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.