Highest Common Factor of 761, 880, 817 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 761, 880, 817 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 761, 880, 817 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 761, 880, 817 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 761, 880, 817 is 1.

HCF(761, 880, 817) = 1

HCF of 761, 880, 817 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 761, 880, 817 is 1.

Highest Common Factor of 761,880,817 using Euclid's algorithm

Highest Common Factor of 761,880,817 is 1

Step 1: Since 880 > 761, we apply the division lemma to 880 and 761, to get

880 = 761 x 1 + 119

Step 2: Since the reminder 761 ≠ 0, we apply division lemma to 119 and 761, to get

761 = 119 x 6 + 47

Step 3: We consider the new divisor 119 and the new remainder 47, and apply the division lemma to get

119 = 47 x 2 + 25

We consider the new divisor 47 and the new remainder 25,and apply the division lemma to get

47 = 25 x 1 + 22

We consider the new divisor 25 and the new remainder 22,and apply the division lemma to get

25 = 22 x 1 + 3

We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get

22 = 3 x 7 + 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 761 and 880 is 1

Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(25,22) = HCF(47,25) = HCF(119,47) = HCF(761,119) = HCF(880,761) .

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

Step 1: Since 817 > 1, we apply the division lemma to 817 and 1, to get

817 = 1 x 817 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 817 is 1

Notice that 1 = HCF(817,1) .

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Frequently Asked Questions on HCF of 761, 880, 817 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 761, 880, 817?

Answer: HCF of 761, 880, 817 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 761, 880, 817 using Euclid's Algorithm?

Answer: For arbitrary numbers 761, 880, 817 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.