Highest Common Factor of 8483, 8971 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 8483, 8971 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8483, 8971 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 8483, 8971 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 8483, 8971 is 1.

HCF(8483, 8971) = 1

HCF of 8483, 8971 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 8483, 8971 is 1.

Highest Common Factor of 8483,8971 using Euclid's algorithm

Highest Common Factor of 8483,8971 is 1

Step 1: Since 8971 > 8483, we apply the division lemma to 8971 and 8483, to get

8971 = 8483 x 1 + 488

Step 2: Since the reminder 8483 ≠ 0, we apply division lemma to 488 and 8483, to get

8483 = 488 x 17 + 187

Step 3: We consider the new divisor 488 and the new remainder 187, and apply the division lemma to get

488 = 187 x 2 + 114

We consider the new divisor 187 and the new remainder 114,and apply the division lemma to get

187 = 114 x 1 + 73

We consider the new divisor 114 and the new remainder 73,and apply the division lemma to get

114 = 73 x 1 + 41

We consider the new divisor 73 and the new remainder 41,and apply the division lemma to get

73 = 41 x 1 + 32

We consider the new divisor 41 and the new remainder 32,and apply the division lemma to get

41 = 32 x 1 + 9

We consider the new divisor 32 and the new remainder 9,and apply the division lemma to get

32 = 9 x 3 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 8483 and 8971 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(32,9) = HCF(41,32) = HCF(73,41) = HCF(114,73) = HCF(187,114) = HCF(488,187) = HCF(8483,488) = HCF(8971,8483) .

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Frequently Asked Questions on HCF of 8483, 8971 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 8483, 8971?

Answer: HCF of 8483, 8971 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8483, 8971 using Euclid's Algorithm?

Answer: For arbitrary numbers 8483, 8971 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.