Highest Common Factor of 179, 2149 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 179, 2149 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 179, 2149 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 179, 2149 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 179, 2149 is 1.

HCF(179, 2149) = 1

HCF of 179, 2149 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 179, 2149 is 1.

Highest Common Factor of 179,2149 using Euclid's algorithm

Highest Common Factor of 179,2149 is 1

Step 1: Since 2149 > 179, we apply the division lemma to 2149 and 179, to get

2149 = 179 x 12 + 1

Step 2: Since the reminder 179 ≠ 0, we apply division lemma to 1 and 179, to get

179 = 1 x 179 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 179 and 2149 is 1

Notice that 1 = HCF(179,1) = HCF(2149,179) .

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Frequently Asked Questions on HCF of 179, 2149 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 179, 2149?

Answer: HCF of 179, 2149 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 179, 2149 using Euclid's Algorithm?

Answer: For arbitrary numbers 179, 2149 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.