Highest Common Factor of 9077, 2311 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 9077, 2311 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9077, 2311 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 9077, 2311 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 9077, 2311 is 1.

HCF(9077, 2311) = 1

HCF of 9077, 2311 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 9077, 2311 is 1.

Highest Common Factor of 9077,2311 using Euclid's algorithm

Highest Common Factor of 9077,2311 is 1

Step 1: Since 9077 > 2311, we apply the division lemma to 9077 and 2311, to get

9077 = 2311 x 3 + 2144

Step 2: Since the reminder 2311 ≠ 0, we apply division lemma to 2144 and 2311, to get

2311 = 2144 x 1 + 167

Step 3: We consider the new divisor 2144 and the new remainder 167, and apply the division lemma to get

2144 = 167 x 12 + 140

We consider the new divisor 167 and the new remainder 140,and apply the division lemma to get

167 = 140 x 1 + 27

We consider the new divisor 140 and the new remainder 27,and apply the division lemma to get

140 = 27 x 5 + 5

We consider the new divisor 27 and the new remainder 5,and apply the division lemma to get

27 = 5 x 5 + 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 9077 and 2311 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(27,5) = HCF(140,27) = HCF(167,140) = HCF(2144,167) = HCF(2311,2144) = HCF(9077,2311) .

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Frequently Asked Questions on HCF of 9077, 2311 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 9077, 2311?

Answer: HCF of 9077, 2311 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9077, 2311 using Euclid's Algorithm?

Answer: For arbitrary numbers 9077, 2311 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.