# Highest Common Factor of 564, 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 564, 361 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 564, 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 564, 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 564, 361 is 1.

HCF(564, 361) = 1

## HCF of 564, 361 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 564, 361 is 1. ### Highest Common Factor of 564,361 is 1

Step 1: Since 564 > 361, we apply the division lemma to 564 and 361, to get

564 = 361 x 1 + 203

Step 2: Since the reminder 361 ≠ 0, we apply division lemma to 203 and 361, to get

361 = 203 x 1 + 158

Step 3: We consider the new divisor 203 and the new remainder 158, and apply the division lemma to get

203 = 158 x 1 + 45

We consider the new divisor 158 and the new remainder 45,and apply the division lemma to get

158 = 45 x 3 + 23

We consider the new divisor 45 and the new remainder 23,and apply the division lemma to get

45 = 23 x 1 + 22

We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get

23 = 22 x 1 + 1

We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get

22 = 1 x 22 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 564 and 361 is 1

Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(45,23) = HCF(158,45) = HCF(203,158) = HCF(361,203) = HCF(564,361) .

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### Frequently Asked Questions on HCF of 564, 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 564, 361?

Answer: HCF of 564, 361 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 564, 361 using Euclid's Algorithm?

Answer: For arbitrary numbers 564, 361 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.