Highest Common Factor of 9614, 3229, 73117 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 9614, 3229, 73117 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9614, 3229, 73117 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 9614, 3229, 73117 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 9614, 3229, 73117 is 1.

HCF(9614, 3229, 73117) = 1

HCF of 9614, 3229, 73117 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 9614, 3229, 73117 is 1.

Highest Common Factor of 9614,3229,73117 using Euclid's algorithm

Highest Common Factor of 9614,3229,73117 is 1

Step 1: Since 9614 > 3229, we apply the division lemma to 9614 and 3229, to get

9614 = 3229 x 2 + 3156

Step 2: Since the reminder 3229 ≠ 0, we apply division lemma to 3156 and 3229, to get

3229 = 3156 x 1 + 73

Step 3: We consider the new divisor 3156 and the new remainder 73, and apply the division lemma to get

3156 = 73 x 43 + 17

We consider the new divisor 73 and the new remainder 17,and apply the division lemma to get

73 = 17 x 4 + 5

We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get

17 = 5 x 3 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 9614 and 3229 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(73,17) = HCF(3156,73) = HCF(3229,3156) = HCF(9614,3229) .

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

Step 1: Since 73117 > 1, we apply the division lemma to 73117 and 1, to get

73117 = 1 x 73117 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 73117 is 1

Notice that 1 = HCF(73117,1) .

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Frequently Asked Questions on HCF of 9614, 3229, 73117 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 9614, 3229, 73117?

Answer: HCF of 9614, 3229, 73117 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9614, 3229, 73117 using Euclid's Algorithm?

Answer: For arbitrary numbers 9614, 3229, 73117 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.