Highest Common Factor of 9051, 9862, 99030 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 9051, 9862, 99030 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9051, 9862, 99030 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 9051, 9862, 99030 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 9051, 9862, 99030 is 1.

HCF(9051, 9862, 99030) = 1

HCF of 9051, 9862, 99030 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 9051, 9862, 99030 is 1.

Highest Common Factor of 9051,9862,99030 using Euclid's algorithm

Highest Common Factor of 9051,9862,99030 is 1

Step 1: Since 9862 > 9051, we apply the division lemma to 9862 and 9051, to get

9862 = 9051 x 1 + 811

Step 2: Since the reminder 9051 ≠ 0, we apply division lemma to 811 and 9051, to get

9051 = 811 x 11 + 130

Step 3: We consider the new divisor 811 and the new remainder 130, and apply the division lemma to get

811 = 130 x 6 + 31

We consider the new divisor 130 and the new remainder 31,and apply the division lemma to get

130 = 31 x 4 + 6

We consider the new divisor 31 and the new remainder 6,and apply the division lemma to get

31 = 6 x 5 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9051 and 9862 is 1

Notice that 1 = HCF(6,1) = HCF(31,6) = HCF(130,31) = HCF(811,130) = HCF(9051,811) = HCF(9862,9051) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 99030 > 1, we apply the division lemma to 99030 and 1, to get

99030 = 1 x 99030 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 99030 is 1

Notice that 1 = HCF(99030,1) .

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Frequently Asked Questions on HCF of 9051, 9862, 99030 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 9051, 9862, 99030?

Answer: HCF of 9051, 9862, 99030 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9051, 9862, 99030 using Euclid's Algorithm?

Answer: For arbitrary numbers 9051, 9862, 99030 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.