Highest Common Factor of 621, 395, 268 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 621, 395, 268 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 621, 395, 268 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 621, 395, 268 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 621, 395, 268 is 1.

HCF(621, 395, 268) = 1

HCF of 621, 395, 268 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 621, 395, 268 is 1.

Highest Common Factor of 621,395,268 using Euclid's algorithm

Highest Common Factor of 621,395,268 is 1

Step 1: Since 621 > 395, we apply the division lemma to 621 and 395, to get

621 = 395 x 1 + 226

Step 2: Since the reminder 395 ≠ 0, we apply division lemma to 226 and 395, to get

395 = 226 x 1 + 169

Step 3: We consider the new divisor 226 and the new remainder 169, and apply the division lemma to get

226 = 169 x 1 + 57

We consider the new divisor 169 and the new remainder 57,and apply the division lemma to get

169 = 57 x 2 + 55

We consider the new divisor 57 and the new remainder 55,and apply the division lemma to get

57 = 55 x 1 + 2

We consider the new divisor 55 and the new remainder 2,and apply the division lemma to get

55 = 2 x 27 + 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 621 and 395 is 1

Notice that 1 = HCF(2,1) = HCF(55,2) = HCF(57,55) = HCF(169,57) = HCF(226,169) = HCF(395,226) = HCF(621,395) .

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

Step 1: Since 268 > 1, we apply the division lemma to 268 and 1, to get

268 = 1 x 268 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 268 is 1

Notice that 1 = HCF(268,1) .

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Frequently Asked Questions on HCF of 621, 395, 268 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 621, 395, 268?

Answer: HCF of 621, 395, 268 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 621, 395, 268 using Euclid's Algorithm?

Answer: For arbitrary numbers 621, 395, 268 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.