Highest Common Factor of 308, 231 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 308, 231 i.e. 77 the largest integer that leaves a remainder zero for all numbers.

HCF of 308, 231 is 77 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 308, 231 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 308, 231 is 77.

HCF(308, 231) = 77

HCF of 308, 231 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 308, 231 is 77.

Highest Common Factor of 308,231 using Euclid's algorithm

Highest Common Factor of 308,231 is 77

Step 1: Since 308 > 231, we apply the division lemma to 308 and 231, to get

308 = 231 x 1 + 77

Step 2: Since the reminder 231 ≠ 0, we apply division lemma to 77 and 231, to get

231 = 77 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 77, the HCF of 308 and 231 is 77

Notice that 77 = HCF(231,77) = HCF(308,231) .

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Frequently Asked Questions on HCF of 308, 231 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 308, 231?

Answer: HCF of 308, 231 is 77 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 308, 231 using Euclid's Algorithm?

Answer: For arbitrary numbers 308, 231 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.