Highest Common Factor of 8715, 8023 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 8715, 8023 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8715, 8023 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 8715, 8023 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 8715, 8023 is 1.

HCF(8715, 8023) = 1

HCF of 8715, 8023 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 8715, 8023 is 1.

Highest Common Factor of 8715,8023 using Euclid's algorithm

Highest Common Factor of 8715,8023 is 1

Step 1: Since 8715 > 8023, we apply the division lemma to 8715 and 8023, to get

8715 = 8023 x 1 + 692

Step 2: Since the reminder 8023 ≠ 0, we apply division lemma to 692 and 8023, to get

8023 = 692 x 11 + 411

Step 3: We consider the new divisor 692 and the new remainder 411, and apply the division lemma to get

692 = 411 x 1 + 281

We consider the new divisor 411 and the new remainder 281,and apply the division lemma to get

411 = 281 x 1 + 130

We consider the new divisor 281 and the new remainder 130,and apply the division lemma to get

281 = 130 x 2 + 21

We consider the new divisor 130 and the new remainder 21,and apply the division lemma to get

130 = 21 x 6 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8715 and 8023 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(130,21) = HCF(281,130) = HCF(411,281) = HCF(692,411) = HCF(8023,692) = HCF(8715,8023) .

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Frequently Asked Questions on HCF of 8715, 8023 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 8715, 8023?

Answer: HCF of 8715, 8023 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8715, 8023 using Euclid's Algorithm?

Answer: For arbitrary numbers 8715, 8023 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.