Highest Common Factor of 139, 556 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 139, 556 i.e. 139 the largest integer that leaves a remainder zero for all numbers.

HCF of 139, 556 is 139 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 139, 556 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 139, 556 is 139.

HCF(139, 556) = 139

HCF of 139, 556 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 139, 556 is 139.

Highest Common Factor of 139,556 using Euclid's algorithm

Highest Common Factor of 139,556 is 139

Step 1: Since 556 > 139, we apply the division lemma to 556 and 139, to get

556 = 139 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 139, the HCF of 139 and 556 is 139

Notice that 139 = HCF(556,139) .

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Frequently Asked Questions on HCF of 139, 556 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 139, 556?

Answer: HCF of 139, 556 is 139 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 139, 556 using Euclid's Algorithm?

Answer: For arbitrary numbers 139, 556 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.