Highest Common Factor of 1453, 9357, 65715 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 1453, 9357, 65715 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1453, 9357, 65715 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 1453, 9357, 65715 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 1453, 9357, 65715 is 1.

HCF(1453, 9357, 65715) = 1

HCF of 1453, 9357, 65715 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 1453, 9357, 65715 is 1.

Highest Common Factor of 1453,9357,65715 using Euclid's algorithm

Highest Common Factor of 1453,9357,65715 is 1

Step 1: Since 9357 > 1453, we apply the division lemma to 9357 and 1453, to get

9357 = 1453 x 6 + 639

Step 2: Since the reminder 1453 ≠ 0, we apply division lemma to 639 and 1453, to get

1453 = 639 x 2 + 175

Step 3: We consider the new divisor 639 and the new remainder 175, and apply the division lemma to get

639 = 175 x 3 + 114

We consider the new divisor 175 and the new remainder 114,and apply the division lemma to get

175 = 114 x 1 + 61

We consider the new divisor 114 and the new remainder 61,and apply the division lemma to get

114 = 61 x 1 + 53

We consider the new divisor 61 and the new remainder 53,and apply the division lemma to get

61 = 53 x 1 + 8

We consider the new divisor 53 and the new remainder 8,and apply the division lemma to get

53 = 8 x 6 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 1453 and 9357 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(53,8) = HCF(61,53) = HCF(114,61) = HCF(175,114) = HCF(639,175) = HCF(1453,639) = HCF(9357,1453) .

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

Step 1: Since 65715 > 1, we apply the division lemma to 65715 and 1, to get

65715 = 1 x 65715 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 65715 is 1

Notice that 1 = HCF(65715,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 1453, 9357, 65715 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 1453, 9357, 65715?

Answer: HCF of 1453, 9357, 65715 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1453, 9357, 65715 using Euclid's Algorithm?

Answer: For arbitrary numbers 1453, 9357, 65715 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.