Highest Common Factor of 3301, 7096, 63302 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 3301, 7096, 63302 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3301, 7096, 63302 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 3301, 7096, 63302 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 3301, 7096, 63302 is 1.

HCF(3301, 7096, 63302) = 1

HCF of 3301, 7096, 63302 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 3301, 7096, 63302 is 1.

Highest Common Factor of 3301,7096,63302 using Euclid's algorithm

Highest Common Factor of 3301,7096,63302 is 1

Step 1: Since 7096 > 3301, we apply the division lemma to 7096 and 3301, to get

7096 = 3301 x 2 + 494

Step 2: Since the reminder 3301 ≠ 0, we apply division lemma to 494 and 3301, to get

3301 = 494 x 6 + 337

Step 3: We consider the new divisor 494 and the new remainder 337, and apply the division lemma to get

494 = 337 x 1 + 157

We consider the new divisor 337 and the new remainder 157,and apply the division lemma to get

337 = 157 x 2 + 23

We consider the new divisor 157 and the new remainder 23,and apply the division lemma to get

157 = 23 x 6 + 19

We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get

23 = 19 x 1 + 4

We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get

19 = 4 x 4 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3301 and 7096 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(157,23) = HCF(337,157) = HCF(494,337) = HCF(3301,494) = HCF(7096,3301) .

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

Step 1: Since 63302 > 1, we apply the division lemma to 63302 and 1, to get

63302 = 1 x 63302 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63302 is 1

Notice that 1 = HCF(63302,1) .

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Frequently Asked Questions on HCF of 3301, 7096, 63302 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 3301, 7096, 63302?

Answer: HCF of 3301, 7096, 63302 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3301, 7096, 63302 using Euclid's Algorithm?

Answer: For arbitrary numbers 3301, 7096, 63302 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.