Highest Common Factor of 1331, 8762 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 1331, 8762 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1331, 8762 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 1331, 8762 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 1331, 8762 is 1.

HCF(1331, 8762) = 1

HCF of 1331, 8762 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 1331, 8762 is 1.

Highest Common Factor of 1331,8762 using Euclid's algorithm

Highest Common Factor of 1331,8762 is 1

Step 1: Since 8762 > 1331, we apply the division lemma to 8762 and 1331, to get

8762 = 1331 x 6 + 776

Step 2: Since the reminder 1331 ≠ 0, we apply division lemma to 776 and 1331, to get

1331 = 776 x 1 + 555

Step 3: We consider the new divisor 776 and the new remainder 555, and apply the division lemma to get

776 = 555 x 1 + 221

We consider the new divisor 555 and the new remainder 221,and apply the division lemma to get

555 = 221 x 2 + 113

We consider the new divisor 221 and the new remainder 113,and apply the division lemma to get

221 = 113 x 1 + 108

We consider the new divisor 113 and the new remainder 108,and apply the division lemma to get

113 = 108 x 1 + 5

We consider the new divisor 108 and the new remainder 5,and apply the division lemma to get

108 = 5 x 21 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1331 and 8762 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(108,5) = HCF(113,108) = HCF(221,113) = HCF(555,221) = HCF(776,555) = HCF(1331,776) = HCF(8762,1331) .

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Frequently Asked Questions on HCF of 1331, 8762 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 1331, 8762?

Answer: HCF of 1331, 8762 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1331, 8762 using Euclid's Algorithm?

Answer: For arbitrary numbers 1331, 8762 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.