Highest Common Factor of 982, 40529 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 982, 40529 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 982, 40529 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 982, 40529 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 982, 40529 is 1.

HCF(982, 40529) = 1

HCF of 982, 40529 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 982, 40529 is 1.

Highest Common Factor of 982,40529 using Euclid's algorithm

Highest Common Factor of 982,40529 is 1

Step 1: Since 40529 > 982, we apply the division lemma to 40529 and 982, to get

40529 = 982 x 41 + 267

Step 2: Since the reminder 982 ≠ 0, we apply division lemma to 267 and 982, to get

982 = 267 x 3 + 181

Step 3: We consider the new divisor 267 and the new remainder 181, and apply the division lemma to get

267 = 181 x 1 + 86

We consider the new divisor 181 and the new remainder 86,and apply the division lemma to get

181 = 86 x 2 + 9

We consider the new divisor 86 and the new remainder 9,and apply the division lemma to get

86 = 9 x 9 + 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 982 and 40529 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(86,9) = HCF(181,86) = HCF(267,181) = HCF(982,267) = HCF(40529,982) .

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Frequently Asked Questions on HCF of 982, 40529 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 982, 40529?

Answer: HCF of 982, 40529 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 982, 40529 using Euclid's Algorithm?

Answer: For arbitrary numbers 982, 40529 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.