Highest Common Factor of 7101, 7532, 99226 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 7101, 7532, 99226 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7101, 7532, 99226 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 7101, 7532, 99226 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 7101, 7532, 99226 is 1.

HCF(7101, 7532, 99226) = 1

HCF of 7101, 7532, 99226 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 7101, 7532, 99226 is 1.

Highest Common Factor of 7101,7532,99226 using Euclid's algorithm

Highest Common Factor of 7101,7532,99226 is 1

Step 1: Since 7532 > 7101, we apply the division lemma to 7532 and 7101, to get

7532 = 7101 x 1 + 431

Step 2: Since the reminder 7101 ≠ 0, we apply division lemma to 431 and 7101, to get

7101 = 431 x 16 + 205

Step 3: We consider the new divisor 431 and the new remainder 205, and apply the division lemma to get

431 = 205 x 2 + 21

We consider the new divisor 205 and the new remainder 21,and apply the division lemma to get

205 = 21 x 9 + 16

We consider the new divisor 21 and the new remainder 16,and apply the division lemma to get

21 = 16 x 1 + 5

We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get

16 = 5 x 3 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7101 and 7532 is 1

Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(21,16) = HCF(205,21) = HCF(431,205) = HCF(7101,431) = HCF(7532,7101) .

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

Step 1: Since 99226 > 1, we apply the division lemma to 99226 and 1, to get

99226 = 1 x 99226 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 99226 is 1

Notice that 1 = HCF(99226,1) .

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Frequently Asked Questions on HCF of 7101, 7532, 99226 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 7101, 7532, 99226?

Answer: HCF of 7101, 7532, 99226 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7101, 7532, 99226 using Euclid's Algorithm?

Answer: For arbitrary numbers 7101, 7532, 99226 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.