Highest Common Factor of 935, 566, 283 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 935, 566, 283 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 935, 566, 283 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 935, 566, 283 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 935, 566, 283 is 1.

HCF(935, 566, 283) = 1

HCF of 935, 566, 283 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 935, 566, 283 is 1.

Highest Common Factor of 935,566,283 using Euclid's algorithm

Highest Common Factor of 935,566,283 is 1

Step 1: Since 935 > 566, we apply the division lemma to 935 and 566, to get

935 = 566 x 1 + 369

Step 2: Since the reminder 566 ≠ 0, we apply division lemma to 369 and 566, to get

566 = 369 x 1 + 197

Step 3: We consider the new divisor 369 and the new remainder 197, and apply the division lemma to get

369 = 197 x 1 + 172

We consider the new divisor 197 and the new remainder 172,and apply the division lemma to get

197 = 172 x 1 + 25

We consider the new divisor 172 and the new remainder 25,and apply the division lemma to get

172 = 25 x 6 + 22

We consider the new divisor 25 and the new remainder 22,and apply the division lemma to get

25 = 22 x 1 + 3

We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get

22 = 3 x 7 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 935 and 566 is 1

Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(25,22) = HCF(172,25) = HCF(197,172) = HCF(369,197) = HCF(566,369) = HCF(935,566) .

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

Step 1: Since 283 > 1, we apply the division lemma to 283 and 1, to get

283 = 1 x 283 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 283 is 1

Notice that 1 = HCF(283,1) .

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Frequently Asked Questions on HCF of 935, 566, 283 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 935, 566, 283?

Answer: HCF of 935, 566, 283 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 935, 566, 283 using Euclid's Algorithm?

Answer: For arbitrary numbers 935, 566, 283 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.