Highest Common Factor of 8307, 1264 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 8307, 1264 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8307, 1264 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 8307, 1264 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 8307, 1264 is 1.

HCF(8307, 1264) = 1

HCF of 8307, 1264 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 8307, 1264 is 1.

Highest Common Factor of 8307,1264 using Euclid's algorithm

Highest Common Factor of 8307,1264 is 1

Step 1: Since 8307 > 1264, we apply the division lemma to 8307 and 1264, to get

8307 = 1264 x 6 + 723

Step 2: Since the reminder 1264 ≠ 0, we apply division lemma to 723 and 1264, to get

1264 = 723 x 1 + 541

Step 3: We consider the new divisor 723 and the new remainder 541, and apply the division lemma to get

723 = 541 x 1 + 182

We consider the new divisor 541 and the new remainder 182,and apply the division lemma to get

541 = 182 x 2 + 177

We consider the new divisor 182 and the new remainder 177,and apply the division lemma to get

182 = 177 x 1 + 5

We consider the new divisor 177 and the new remainder 5,and apply the division lemma to get

177 = 5 x 35 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 8307 and 1264 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(177,5) = HCF(182,177) = HCF(541,182) = HCF(723,541) = HCF(1264,723) = HCF(8307,1264) .

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Frequently Asked Questions on HCF of 8307, 1264 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 8307, 1264?

Answer: HCF of 8307, 1264 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8307, 1264 using Euclid's Algorithm?

Answer: For arbitrary numbers 8307, 1264 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.