Highest Common Factor of 986, 621 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 986, 621 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 986, 621 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 986, 621 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 986, 621 is 1.

HCF(986, 621) = 1

HCF of 986, 621 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 986, 621 is 1.

Highest Common Factor of 986,621 using Euclid's algorithm

Highest Common Factor of 986,621 is 1

Step 1: Since 986 > 621, we apply the division lemma to 986 and 621, to get

986 = 621 x 1 + 365

Step 2: Since the reminder 621 ≠ 0, we apply division lemma to 365 and 621, to get

621 = 365 x 1 + 256

Step 3: We consider the new divisor 365 and the new remainder 256, and apply the division lemma to get

365 = 256 x 1 + 109

We consider the new divisor 256 and the new remainder 109,and apply the division lemma to get

256 = 109 x 2 + 38

We consider the new divisor 109 and the new remainder 38,and apply the division lemma to get

109 = 38 x 2 + 33

We consider the new divisor 38 and the new remainder 33,and apply the division lemma to get

38 = 33 x 1 + 5

We consider the new divisor 33 and the new remainder 5,and apply the division lemma to get

33 = 5 x 6 + 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 986 and 621 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(33,5) = HCF(38,33) = HCF(109,38) = HCF(256,109) = HCF(365,256) = HCF(621,365) = HCF(986,621) .

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Frequently Asked Questions on HCF of 986, 621 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 986, 621?

Answer: HCF of 986, 621 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 986, 621 using Euclid's Algorithm?

Answer: For arbitrary numbers 986, 621 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.