Highest Common Factor of 9962, 4715, 97492 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 9962, 4715, 97492 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9962, 4715, 97492 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 9962, 4715, 97492 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 9962, 4715, 97492 is 1.

HCF(9962, 4715, 97492) = 1

HCF of 9962, 4715, 97492 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 9962, 4715, 97492 is 1.

Highest Common Factor of 9962,4715,97492 using Euclid's algorithm

Highest Common Factor of 9962,4715,97492 is 1

Step 1: Since 9962 > 4715, we apply the division lemma to 9962 and 4715, to get

9962 = 4715 x 2 + 532

Step 2: Since the reminder 4715 ≠ 0, we apply division lemma to 532 and 4715, to get

4715 = 532 x 8 + 459

Step 3: We consider the new divisor 532 and the new remainder 459, and apply the division lemma to get

532 = 459 x 1 + 73

We consider the new divisor 459 and the new remainder 73,and apply the division lemma to get

459 = 73 x 6 + 21

We consider the new divisor 73 and the new remainder 21,and apply the division lemma to get

73 = 21 x 3 + 10

We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get

21 = 10 x 2 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9962 and 4715 is 1

Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(73,21) = HCF(459,73) = HCF(532,459) = HCF(4715,532) = HCF(9962,4715) .

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

Step 1: Since 97492 > 1, we apply the division lemma to 97492 and 1, to get

97492 = 1 x 97492 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 97492 is 1

Notice that 1 = HCF(97492,1) .

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Frequently Asked Questions on HCF of 9962, 4715, 97492 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 9962, 4715, 97492?

Answer: HCF of 9962, 4715, 97492 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9962, 4715, 97492 using Euclid's Algorithm?

Answer: For arbitrary numbers 9962, 4715, 97492 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.