Highest Common Factor of 527, 361 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 527, 361 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 527, 361 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 527, 361 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 527, 361 is 1.

HCF(527, 361) = 1

HCF of 527, 361 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 527, 361 is 1.

Highest Common Factor of 527,361 using Euclid's algorithm

Highest Common Factor of 527,361 is 1

Step 1: Since 527 > 361, we apply the division lemma to 527 and 361, to get

527 = 361 x 1 + 166

Step 2: Since the reminder 361 ≠ 0, we apply division lemma to 166 and 361, to get

361 = 166 x 2 + 29

Step 3: We consider the new divisor 166 and the new remainder 29, and apply the division lemma to get

166 = 29 x 5 + 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 527 and 361 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(29,21) = HCF(166,29) = HCF(361,166) = HCF(527,361) .

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Frequently Asked Questions on HCF of 527, 361 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 527, 361?

Answer: HCF of 527, 361 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 527, 361 using Euclid's Algorithm?

Answer: For arbitrary numbers 527, 361 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.