Highest Common Factor of 565, 769, 715 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, 769, 715 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 565, 769, 715 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, 769, 715 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, 769, 715 is 1.

HCF(565, 769, 715) = 1

HCF of 565, 769, 715 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, 769, 715 is 1.

Highest Common Factor of 565,769,715 using Euclid's algorithm

Highest Common Factor of 565,769,715 is 1

Step 1: Since 769 > 565, we apply the division lemma to 769 and 565, to get

769 = 565 x 1 + 204

Step 2: Since the reminder 565 ≠ 0, we apply division lemma to 204 and 565, to get

565 = 204 x 2 + 157

Step 3: We consider the new divisor 204 and the new remainder 157, and apply the division lemma to get

204 = 157 x 1 + 47

We consider the new divisor 157 and the new remainder 47,and apply the division lemma to get

157 = 47 x 3 + 16

We consider the new divisor 47 and the new remainder 16,and apply the division lemma to get

47 = 16 x 2 + 15

We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get

16 = 15 x 1 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 565 and 769 is 1

Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(47,16) = HCF(157,47) = HCF(204,157) = HCF(565,204) = HCF(769,565) .

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

Step 1: Since 715 > 1, we apply the division lemma to 715 and 1, to get

715 = 1 x 715 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 715 is 1

Notice that 1 = HCF(715,1) .

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Frequently Asked Questions on HCF of 565, 769, 715 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, 769, 715?

Answer: HCF of 565, 769, 715 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 565, 769, 715 using Euclid's Algorithm?

Answer: For arbitrary numbers 565, 769, 715 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.