Highest Common Factor of 981, 760, 856 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 981, 760, 856 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 981, 760, 856 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 981, 760, 856 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 981, 760, 856 is 1.

HCF(981, 760, 856) = 1

HCF of 981, 760, 856 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 981, 760, 856 is 1.

Highest Common Factor of 981,760,856 using Euclid's algorithm

Highest Common Factor of 981,760,856 is 1

Step 1: Since 981 > 760, we apply the division lemma to 981 and 760, to get

981 = 760 x 1 + 221

Step 2: Since the reminder 760 ≠ 0, we apply division lemma to 221 and 760, to get

760 = 221 x 3 + 97

Step 3: We consider the new divisor 221 and the new remainder 97, and apply the division lemma to get

221 = 97 x 2 + 27

We consider the new divisor 97 and the new remainder 27,and apply the division lemma to get

97 = 27 x 3 + 16

We consider the new divisor 27 and the new remainder 16,and apply the division lemma to get

27 = 16 x 1 + 11

We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get

16 = 11 x 1 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 981 and 760 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(27,16) = HCF(97,27) = HCF(221,97) = HCF(760,221) = HCF(981,760) .

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

Step 1: Since 856 > 1, we apply the division lemma to 856 and 1, to get

856 = 1 x 856 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 856 is 1

Notice that 1 = HCF(856,1) .

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Frequently Asked Questions on HCF of 981, 760, 856 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 981, 760, 856?

Answer: HCF of 981, 760, 856 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 981, 760, 856 using Euclid's Algorithm?

Answer: For arbitrary numbers 981, 760, 856 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.