Highest Common Factor of 9881, 7098 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 9881, 7098 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9881, 7098 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 9881, 7098 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 9881, 7098 is 1.

HCF(9881, 7098) = 1

HCF of 9881, 7098 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 9881, 7098 is 1.

Highest Common Factor of 9881,7098 using Euclid's algorithm

Highest Common Factor of 9881,7098 is 1

Step 1: Since 9881 > 7098, we apply the division lemma to 9881 and 7098, to get

9881 = 7098 x 1 + 2783

Step 2: Since the reminder 7098 ≠ 0, we apply division lemma to 2783 and 7098, to get

7098 = 2783 x 2 + 1532

Step 3: We consider the new divisor 2783 and the new remainder 1532, and apply the division lemma to get

2783 = 1532 x 1 + 1251

We consider the new divisor 1532 and the new remainder 1251,and apply the division lemma to get

1532 = 1251 x 1 + 281

We consider the new divisor 1251 and the new remainder 281,and apply the division lemma to get

1251 = 281 x 4 + 127

We consider the new divisor 281 and the new remainder 127,and apply the division lemma to get

281 = 127 x 2 + 27

We consider the new divisor 127 and the new remainder 27,and apply the division lemma to get

127 = 27 x 4 + 19

We consider the new divisor 27 and the new remainder 19,and apply the division lemma to get

27 = 19 x 1 + 8

We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get

19 = 8 x 2 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9881 and 7098 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(27,19) = HCF(127,27) = HCF(281,127) = HCF(1251,281) = HCF(1532,1251) = HCF(2783,1532) = HCF(7098,2783) = HCF(9881,7098) .

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Frequently Asked Questions on HCF of 9881, 7098 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 9881, 7098?

Answer: HCF of 9881, 7098 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9881, 7098 using Euclid's Algorithm?

Answer: For arbitrary numbers 9881, 7098 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.