Highest Common Factor of 7765, 9545, 64942 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 7765, 9545, 64942 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7765, 9545, 64942 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 7765, 9545, 64942 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 7765, 9545, 64942 is 1.

HCF(7765, 9545, 64942) = 1

HCF of 7765, 9545, 64942 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 7765, 9545, 64942 is 1.

Highest Common Factor of 7765,9545,64942 using Euclid's algorithm

Highest Common Factor of 7765,9545,64942 is 1

Step 1: Since 9545 > 7765, we apply the division lemma to 9545 and 7765, to get

9545 = 7765 x 1 + 1780

Step 2: Since the reminder 7765 ≠ 0, we apply division lemma to 1780 and 7765, to get

7765 = 1780 x 4 + 645

Step 3: We consider the new divisor 1780 and the new remainder 645, and apply the division lemma to get

1780 = 645 x 2 + 490

We consider the new divisor 645 and the new remainder 490,and apply the division lemma to get

645 = 490 x 1 + 155

We consider the new divisor 490 and the new remainder 155,and apply the division lemma to get

490 = 155 x 3 + 25

We consider the new divisor 155 and the new remainder 25,and apply the division lemma to get

155 = 25 x 6 + 5

We consider the new divisor 25 and the new remainder 5,and apply the division lemma to get

25 = 5 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7765 and 9545 is 5

Notice that 5 = HCF(25,5) = HCF(155,25) = HCF(490,155) = HCF(645,490) = HCF(1780,645) = HCF(7765,1780) = HCF(9545,7765) .

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

Step 1: Since 64942 > 5, we apply the division lemma to 64942 and 5, to get

64942 = 5 x 12988 + 2

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 2 and 5, to get

5 = 2 x 2 + 1

Step 3: 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 5 and 64942 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(64942,5) .

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Frequently Asked Questions on HCF of 7765, 9545, 64942 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 7765, 9545, 64942?

Answer: HCF of 7765, 9545, 64942 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7765, 9545, 64942 using Euclid's Algorithm?

Answer: For arbitrary numbers 7765, 9545, 64942 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.