Highest Common Factor of 917, 562, 811 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 917, 562, 811 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 917, 562, 811 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 917, 562, 811 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 917, 562, 811 is 1.

HCF(917, 562, 811) = 1

HCF of 917, 562, 811 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 917, 562, 811 is 1.

Highest Common Factor of 917,562,811 using Euclid's algorithm

Highest Common Factor of 917,562,811 is 1

Step 1: Since 917 > 562, we apply the division lemma to 917 and 562, to get

917 = 562 x 1 + 355

Step 2: Since the reminder 562 ≠ 0, we apply division lemma to 355 and 562, to get

562 = 355 x 1 + 207

Step 3: We consider the new divisor 355 and the new remainder 207, and apply the division lemma to get

355 = 207 x 1 + 148

We consider the new divisor 207 and the new remainder 148,and apply the division lemma to get

207 = 148 x 1 + 59

We consider the new divisor 148 and the new remainder 59,and apply the division lemma to get

148 = 59 x 2 + 30

We consider the new divisor 59 and the new remainder 30,and apply the division lemma to get

59 = 30 x 1 + 29

We consider the new divisor 30 and the new remainder 29,and apply the division lemma to get

30 = 29 x 1 + 1

We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get

29 = 1 x 29 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 917 and 562 is 1

Notice that 1 = HCF(29,1) = HCF(30,29) = HCF(59,30) = HCF(148,59) = HCF(207,148) = HCF(355,207) = HCF(562,355) = HCF(917,562) .

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

Step 1: Since 811 > 1, we apply the division lemma to 811 and 1, to get

811 = 1 x 811 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 811 is 1

Notice that 1 = HCF(811,1) .

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Frequently Asked Questions on HCF of 917, 562, 811 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 917, 562, 811?

Answer: HCF of 917, 562, 811 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 917, 562, 811 using Euclid's Algorithm?

Answer: For arbitrary numbers 917, 562, 811 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.