Highest Common Factor of 5666, 9065, 92276 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 5666, 9065, 92276 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5666, 9065, 92276 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 5666, 9065, 92276 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 5666, 9065, 92276 is 1.

HCF(5666, 9065, 92276) = 1

HCF of 5666, 9065, 92276 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 5666, 9065, 92276 is 1.

Highest Common Factor of 5666,9065,92276 using Euclid's algorithm

Highest Common Factor of 5666,9065,92276 is 1

Step 1: Since 9065 > 5666, we apply the division lemma to 9065 and 5666, to get

9065 = 5666 x 1 + 3399

Step 2: Since the reminder 5666 ≠ 0, we apply division lemma to 3399 and 5666, to get

5666 = 3399 x 1 + 2267

Step 3: We consider the new divisor 3399 and the new remainder 2267, and apply the division lemma to get

3399 = 2267 x 1 + 1132

We consider the new divisor 2267 and the new remainder 1132,and apply the division lemma to get

2267 = 1132 x 2 + 3

We consider the new divisor 1132 and the new remainder 3,and apply the division lemma to get

1132 = 3 x 377 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5666 and 9065 is 1

Notice that 1 = HCF(3,1) = HCF(1132,3) = HCF(2267,1132) = HCF(3399,2267) = HCF(5666,3399) = HCF(9065,5666) .

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

Step 1: Since 92276 > 1, we apply the division lemma to 92276 and 1, to get

92276 = 1 x 92276 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 92276 is 1

Notice that 1 = HCF(92276,1) .

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Frequently Asked Questions on HCF of 5666, 9065, 92276 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 5666, 9065, 92276?

Answer: HCF of 5666, 9065, 92276 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5666, 9065, 92276 using Euclid's Algorithm?

Answer: For arbitrary numbers 5666, 9065, 92276 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.