Highest Common Factor of 8118, 9755 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 8118, 9755 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8118, 9755 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 8118, 9755 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 8118, 9755 is 1.

HCF(8118, 9755) = 1

HCF of 8118, 9755 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 8118, 9755 is 1.

Highest Common Factor of 8118,9755 using Euclid's algorithm

Highest Common Factor of 8118,9755 is 1

Step 1: Since 9755 > 8118, we apply the division lemma to 9755 and 8118, to get

9755 = 8118 x 1 + 1637

Step 2: Since the reminder 8118 ≠ 0, we apply division lemma to 1637 and 8118, to get

8118 = 1637 x 4 + 1570

Step 3: We consider the new divisor 1637 and the new remainder 1570, and apply the division lemma to get

1637 = 1570 x 1 + 67

We consider the new divisor 1570 and the new remainder 67,and apply the division lemma to get

1570 = 67 x 23 + 29

We consider the new divisor 67 and the new remainder 29,and apply the division lemma to get

67 = 29 x 2 + 9

We consider the new divisor 29 and the new remainder 9,and apply the division lemma to get

29 = 9 x 3 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 8118 and 9755 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(29,9) = HCF(67,29) = HCF(1570,67) = HCF(1637,1570) = HCF(8118,1637) = HCF(9755,8118) .

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Frequently Asked Questions on HCF of 8118, 9755 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 8118, 9755?

Answer: HCF of 8118, 9755 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8118, 9755 using Euclid's Algorithm?

Answer: For arbitrary numbers 8118, 9755 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.