Highest Common Factor of 8149, 9932 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 8149, 9932 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8149, 9932 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 8149, 9932 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 8149, 9932 is 1.

HCF(8149, 9932) = 1

HCF of 8149, 9932 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 8149, 9932 is 1.

Highest Common Factor of 8149,9932 using Euclid's algorithm

Highest Common Factor of 8149,9932 is 1

Step 1: Since 9932 > 8149, we apply the division lemma to 9932 and 8149, to get

9932 = 8149 x 1 + 1783

Step 2: Since the reminder 8149 ≠ 0, we apply division lemma to 1783 and 8149, to get

8149 = 1783 x 4 + 1017

Step 3: We consider the new divisor 1783 and the new remainder 1017, and apply the division lemma to get

1783 = 1017 x 1 + 766

We consider the new divisor 1017 and the new remainder 766,and apply the division lemma to get

1017 = 766 x 1 + 251

We consider the new divisor 766 and the new remainder 251,and apply the division lemma to get

766 = 251 x 3 + 13

We consider the new divisor 251 and the new remainder 13,and apply the division lemma to get

251 = 13 x 19 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 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 8149 and 9932 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(251,13) = HCF(766,251) = HCF(1017,766) = HCF(1783,1017) = HCF(8149,1783) = HCF(9932,8149) .

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Frequently Asked Questions on HCF of 8149, 9932 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 8149, 9932?

Answer: HCF of 8149, 9932 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8149, 9932 using Euclid's Algorithm?

Answer: For arbitrary numbers 8149, 9932 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.