Highest Common Factor of 621, 872, 99 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, 872, 99 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 621, 872, 99 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, 872, 99 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, 872, 99 is 1.

HCF(621, 872, 99) = 1

HCF of 621, 872, 99 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, 872, 99 is 1.

Highest Common Factor of 621,872,99 using Euclid's algorithm

Highest Common Factor of 621,872,99 is 1

Step 1: Since 872 > 621, we apply the division lemma to 872 and 621, to get

872 = 621 x 1 + 251

Step 2: Since the reminder 621 ≠ 0, we apply division lemma to 251 and 621, to get

621 = 251 x 2 + 119

Step 3: We consider the new divisor 251 and the new remainder 119, and apply the division lemma to get

251 = 119 x 2 + 13

We consider the new divisor 119 and the new remainder 13,and apply the division lemma to get

119 = 13 x 9 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 872 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(119,13) = HCF(251,119) = HCF(621,251) = HCF(872,621) .


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

Step 1: Since 99 > 1, we apply the division lemma to 99 and 1, to get

99 = 1 x 99 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 99 is 1

Notice that 1 = HCF(99,1) .

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Frequently Asked Questions on HCF of 621, 872, 99 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, 872, 99?

Answer: HCF of 621, 872, 99 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 621, 872, 99 using Euclid's Algorithm?

Answer: For arbitrary numbers 621, 872, 99 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.