Highest Common Factor of 566, 913, 297 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, 913, 297 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 566, 913, 297 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, 913, 297 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, 913, 297 is 1.

HCF(566, 913, 297) = 1

HCF of 566, 913, 297 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, 913, 297 is 1.

Highest Common Factor of 566,913,297 using Euclid's algorithm

Highest Common Factor of 566,913,297 is 1

Step 1: Since 913 > 566, we apply the division lemma to 913 and 566, to get

913 = 566 x 1 + 347

Step 2: Since the reminder 566 ≠ 0, we apply division lemma to 347 and 566, to get

566 = 347 x 1 + 219

Step 3: We consider the new divisor 347 and the new remainder 219, and apply the division lemma to get

347 = 219 x 1 + 128

We consider the new divisor 219 and the new remainder 128,and apply the division lemma to get

219 = 128 x 1 + 91

We consider the new divisor 128 and the new remainder 91,and apply the division lemma to get

128 = 91 x 1 + 37

We consider the new divisor 91 and the new remainder 37,and apply the division lemma to get

91 = 37 x 2 + 17

We consider the new divisor 37 and the new remainder 17,and apply the division lemma to get

37 = 17 x 2 + 3

We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get

17 = 3 x 5 + 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 913 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(37,17) = HCF(91,37) = HCF(128,91) = HCF(219,128) = HCF(347,219) = HCF(566,347) = HCF(913,566) .

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

Step 1: Since 297 > 1, we apply the division lemma to 297 and 1, to get

297 = 1 x 297 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 297 is 1

Notice that 1 = HCF(297,1) .

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Frequently Asked Questions on HCF of 566, 913, 297 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, 913, 297?

Answer: HCF of 566, 913, 297 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 566, 913, 297 using Euclid's Algorithm?

Answer: For arbitrary numbers 566, 913, 297 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.