Highest Common Factor of 565, 775, 491 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 565, 775, 491 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 565, 775, 491 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 565, 775, 491 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 565, 775, 491 is 1.

HCF(565, 775, 491) = 1

HCF of 565, 775, 491 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 565, 775, 491 is 1.

Highest Common Factor of 565,775,491 using Euclid's algorithm

Highest Common Factor of 565,775,491 is 1

Step 1: Since 775 > 565, we apply the division lemma to 775 and 565, to get

775 = 565 x 1 + 210

Step 2: Since the reminder 565 ≠ 0, we apply division lemma to 210 and 565, to get

565 = 210 x 2 + 145

Step 3: We consider the new divisor 210 and the new remainder 145, and apply the division lemma to get

210 = 145 x 1 + 65

We consider the new divisor 145 and the new remainder 65,and apply the division lemma to get

145 = 65 x 2 + 15

We consider the new divisor 65 and the new remainder 15,and apply the division lemma to get

65 = 15 x 4 + 5

We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get

15 = 5 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 565 and 775 is 5

Notice that 5 = HCF(15,5) = HCF(65,15) = HCF(145,65) = HCF(210,145) = HCF(565,210) = HCF(775,565) .

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

Step 1: Since 491 > 5, we apply the division lemma to 491 and 5, to get

491 = 5 x 98 + 1

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, 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 5 and 491 is 1

Notice that 1 = HCF(5,1) = HCF(491,5) .

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Frequently Asked Questions on HCF of 565, 775, 491 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 565, 775, 491?

Answer: HCF of 565, 775, 491 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 565, 775, 491 using Euclid's Algorithm?

Answer: For arbitrary numbers 565, 775, 491 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.