Highest Common Factor of 1467, 8311 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 1467, 8311 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1467, 8311 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 1467, 8311 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 1467, 8311 is 1.

HCF(1467, 8311) = 1

HCF of 1467, 8311 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 1467, 8311 is 1.

Highest Common Factor of 1467,8311 using Euclid's algorithm

Highest Common Factor of 1467,8311 is 1

Step 1: Since 8311 > 1467, we apply the division lemma to 8311 and 1467, to get

8311 = 1467 x 5 + 976

Step 2: Since the reminder 1467 ≠ 0, we apply division lemma to 976 and 1467, to get

1467 = 976 x 1 + 491

Step 3: We consider the new divisor 976 and the new remainder 491, and apply the division lemma to get

976 = 491 x 1 + 485

We consider the new divisor 491 and the new remainder 485,and apply the division lemma to get

491 = 485 x 1 + 6

We consider the new divisor 485 and the new remainder 6,and apply the division lemma to get

485 = 6 x 80 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1467 and 8311 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(485,6) = HCF(491,485) = HCF(976,491) = HCF(1467,976) = HCF(8311,1467) .

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Frequently Asked Questions on HCF of 1467, 8311 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 1467, 8311?

Answer: HCF of 1467, 8311 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1467, 8311 using Euclid's Algorithm?

Answer: For arbitrary numbers 1467, 8311 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.