Highest Common Factor of 771, 917, 719 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 771, 917, 719 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 771, 917, 719 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 771, 917, 719 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 771, 917, 719 is 1.

HCF(771, 917, 719) = 1

HCF of 771, 917, 719 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 771, 917, 719 is 1.

Highest Common Factor of 771,917,719 using Euclid's algorithm

Highest Common Factor of 771,917,719 is 1

Step 1: Since 917 > 771, we apply the division lemma to 917 and 771, to get

917 = 771 x 1 + 146

Step 2: Since the reminder 771 ≠ 0, we apply division lemma to 146 and 771, to get

771 = 146 x 5 + 41

Step 3: We consider the new divisor 146 and the new remainder 41, and apply the division lemma to get

146 = 41 x 3 + 23

We consider the new divisor 41 and the new remainder 23,and apply the division lemma to get

41 = 23 x 1 + 18

We consider the new divisor 23 and the new remainder 18,and apply the division lemma to get

23 = 18 x 1 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 771 and 917 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(23,18) = HCF(41,23) = HCF(146,41) = HCF(771,146) = HCF(917,771) .

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

Step 1: Since 719 > 1, we apply the division lemma to 719 and 1, to get

719 = 1 x 719 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 719 is 1

Notice that 1 = HCF(719,1) .

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Frequently Asked Questions on HCF of 771, 917, 719 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 771, 917, 719?

Answer: HCF of 771, 917, 719 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 771, 917, 719 using Euclid's Algorithm?

Answer: For arbitrary numbers 771, 917, 719 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.