Highest Common Factor of 566, 437 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 566, 437 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 566, 437 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 566, 437 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 566, 437 is 1.

HCF(566, 437) = 1

HCF of 566, 437 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 566, 437 is 1.

Highest Common Factor of 566,437 using Euclid's algorithm

Highest Common Factor of 566,437 is 1

Step 1: Since 566 > 437, we apply the division lemma to 566 and 437, to get

566 = 437 x 1 + 129

Step 2: Since the reminder 437 ≠ 0, we apply division lemma to 129 and 437, to get

437 = 129 x 3 + 50

Step 3: We consider the new divisor 129 and the new remainder 50, and apply the division lemma to get

129 = 50 x 2 + 29

We consider the new divisor 50 and the new remainder 29,and apply the division lemma to get

50 = 29 x 1 + 21

We consider the new divisor 29 and the new remainder 21,and apply the division lemma to get

29 = 21 x 1 + 8

We consider the new divisor 21 and the new remainder 8,and apply the division lemma to get

21 = 8 x 2 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 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 566 and 437 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(29,21) = HCF(50,29) = HCF(129,50) = HCF(437,129) = HCF(566,437) .

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Frequently Asked Questions on HCF of 566, 437 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 566, 437?

Answer: HCF of 566, 437 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 566, 437 using Euclid's Algorithm?

Answer: For arbitrary numbers 566, 437 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.