Highest Common Factor of 8543, 9156, 69765 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 8543, 9156, 69765 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8543, 9156, 69765 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 8543, 9156, 69765 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 8543, 9156, 69765 is 1.

HCF(8543, 9156, 69765) = 1

HCF of 8543, 9156, 69765 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 8543, 9156, 69765 is 1.

Highest Common Factor of 8543,9156,69765 using Euclid's algorithm

Highest Common Factor of 8543,9156,69765 is 1

Step 1: Since 9156 > 8543, we apply the division lemma to 9156 and 8543, to get

9156 = 8543 x 1 + 613

Step 2: Since the reminder 8543 ≠ 0, we apply division lemma to 613 and 8543, to get

8543 = 613 x 13 + 574

Step 3: We consider the new divisor 613 and the new remainder 574, and apply the division lemma to get

613 = 574 x 1 + 39

We consider the new divisor 574 and the new remainder 39,and apply the division lemma to get

574 = 39 x 14 + 28

We consider the new divisor 39 and the new remainder 28,and apply the division lemma to get

39 = 28 x 1 + 11

We consider the new divisor 28 and the new remainder 11,and apply the division lemma to get

28 = 11 x 2 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8543 and 9156 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(28,11) = HCF(39,28) = HCF(574,39) = HCF(613,574) = HCF(8543,613) = HCF(9156,8543) .

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

Step 1: Since 69765 > 1, we apply the division lemma to 69765 and 1, to get

69765 = 1 x 69765 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 69765 is 1

Notice that 1 = HCF(69765,1) .

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Frequently Asked Questions on HCF of 8543, 9156, 69765 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 8543, 9156, 69765?

Answer: HCF of 8543, 9156, 69765 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8543, 9156, 69765 using Euclid's Algorithm?

Answer: For arbitrary numbers 8543, 9156, 69765 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.