Highest Common Factor of 920, 761, 517 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 920, 761, 517 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 920, 761, 517 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 920, 761, 517 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 920, 761, 517 is 1.

HCF(920, 761, 517) = 1

HCF of 920, 761, 517 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 920, 761, 517 is 1.

Highest Common Factor of 920,761,517 using Euclid's algorithm

Highest Common Factor of 920,761,517 is 1

Step 1: Since 920 > 761, we apply the division lemma to 920 and 761, to get

920 = 761 x 1 + 159

Step 2: Since the reminder 761 ≠ 0, we apply division lemma to 159 and 761, to get

761 = 159 x 4 + 125

Step 3: We consider the new divisor 159 and the new remainder 125, and apply the division lemma to get

159 = 125 x 1 + 34

We consider the new divisor 125 and the new remainder 34,and apply the division lemma to get

125 = 34 x 3 + 23

We consider the new divisor 34 and the new remainder 23,and apply the division lemma to get

34 = 23 x 1 + 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 920 and 761 is 1

Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(34,23) = HCF(125,34) = HCF(159,125) = HCF(761,159) = HCF(920,761) .

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

Step 1: Since 517 > 1, we apply the division lemma to 517 and 1, to get

517 = 1 x 517 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 517 is 1

Notice that 1 = HCF(517,1) .

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Frequently Asked Questions on HCF of 920, 761, 517 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 920, 761, 517?

Answer: HCF of 920, 761, 517 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 920, 761, 517 using Euclid's Algorithm?

Answer: For arbitrary numbers 920, 761, 517 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.