Highest Common Factor of 156, 143 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 156, 143 i.e. 13 the largest integer that leaves a remainder zero for all numbers.

HCF of 156, 143 is 13 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 156, 143 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 156, 143 is 13.

HCF(156, 143) = 13

HCF of 156, 143 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 156, 143 is 13.

Highest Common Factor of 156,143 using Euclid's algorithm

Highest Common Factor of 156,143 is 13

Step 1: Since 156 > 143, we apply the division lemma to 156 and 143, to get

156 = 143 x 1 + 13

Step 2: Since the reminder 143 ≠ 0, we apply division lemma to 13 and 143, to get

143 = 13 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 156 and 143 is 13

Notice that 13 = HCF(143,13) = HCF(156,143) .

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Frequently Asked Questions on HCF of 156, 143 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 156, 143?

Answer: HCF of 156, 143 is 13 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 156, 143 using Euclid's Algorithm?

Answer: For arbitrary numbers 156, 143 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.