Highest Common Factor of 8307, 5992 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, 5992 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8307, 5992 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, 5992 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, 5992 is 1.

HCF(8307, 5992) = 1

HCF of 8307, 5992 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, 5992 is 1.

Highest Common Factor of 8307,5992 using Euclid's algorithm

Highest Common Factor of 8307,5992 is 1

Step 1: Since 8307 > 5992, we apply the division lemma to 8307 and 5992, to get

8307 = 5992 x 1 + 2315

Step 2: Since the reminder 5992 ≠ 0, we apply division lemma to 2315 and 5992, to get

5992 = 2315 x 2 + 1362

Step 3: We consider the new divisor 2315 and the new remainder 1362, and apply the division lemma to get

2315 = 1362 x 1 + 953

We consider the new divisor 1362 and the new remainder 953,and apply the division lemma to get

1362 = 953 x 1 + 409

We consider the new divisor 953 and the new remainder 409,and apply the division lemma to get

953 = 409 x 2 + 135

We consider the new divisor 409 and the new remainder 135,and apply the division lemma to get

409 = 135 x 3 + 4

We consider the new divisor 135 and the new remainder 4,and apply the division lemma to get

135 = 4 x 33 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8307 and 5992 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(135,4) = HCF(409,135) = HCF(953,409) = HCF(1362,953) = HCF(2315,1362) = HCF(5992,2315) = HCF(8307,5992) .

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Frequently Asked Questions on HCF of 8307, 5992 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, 5992?

Answer: HCF of 8307, 5992 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8307, 5992 using Euclid's Algorithm?

Answer: For arbitrary numbers 8307, 5992 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.