Highest Common Factor of 364, 561, 639 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 364, 561, 639 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 364, 561, 639 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 364, 561, 639 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 364, 561, 639 is 1.

HCF(364, 561, 639) = 1

HCF of 364, 561, 639 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 364, 561, 639 is 1.

Highest Common Factor of 364,561,639 using Euclid's algorithm

Highest Common Factor of 364,561,639 is 1

Step 1: Since 561 > 364, we apply the division lemma to 561 and 364, to get

561 = 364 x 1 + 197

Step 2: Since the reminder 364 ≠ 0, we apply division lemma to 197 and 364, to get

364 = 197 x 1 + 167

Step 3: We consider the new divisor 197 and the new remainder 167, and apply the division lemma to get

197 = 167 x 1 + 30

We consider the new divisor 167 and the new remainder 30,and apply the division lemma to get

167 = 30 x 5 + 17

We consider the new divisor 30 and the new remainder 17,and apply the division lemma to get

30 = 17 x 1 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 364 and 561 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(30,17) = HCF(167,30) = HCF(197,167) = HCF(364,197) = HCF(561,364) .

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

Step 1: Since 639 > 1, we apply the division lemma to 639 and 1, to get

639 = 1 x 639 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 639 is 1

Notice that 1 = HCF(639,1) .

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Frequently Asked Questions on HCF of 364, 561, 639 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 364, 561, 639?

Answer: HCF of 364, 561, 639 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 364, 561, 639 using Euclid's Algorithm?

Answer: For arbitrary numbers 364, 561, 639 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.