Highest Common Factor of 7337, 2643, 22707 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 7337, 2643, 22707 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7337, 2643, 22707 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 7337, 2643, 22707 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 7337, 2643, 22707 is 1.

HCF(7337, 2643, 22707) = 1

HCF of 7337, 2643, 22707 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 7337, 2643, 22707 is 1.

Highest Common Factor of 7337,2643,22707 using Euclid's algorithm

Highest Common Factor of 7337,2643,22707 is 1

Step 1: Since 7337 > 2643, we apply the division lemma to 7337 and 2643, to get

7337 = 2643 x 2 + 2051

Step 2: Since the reminder 2643 ≠ 0, we apply division lemma to 2051 and 2643, to get

2643 = 2051 x 1 + 592

Step 3: We consider the new divisor 2051 and the new remainder 592, and apply the division lemma to get

2051 = 592 x 3 + 275

We consider the new divisor 592 and the new remainder 275,and apply the division lemma to get

592 = 275 x 2 + 42

We consider the new divisor 275 and the new remainder 42,and apply the division lemma to get

275 = 42 x 6 + 23

We consider the new divisor 42 and the new remainder 23,and apply the division lemma to get

42 = 23 x 1 + 19

We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get

23 = 19 x 1 + 4

We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get

19 = 4 x 4 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 7337 and 2643 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(42,23) = HCF(275,42) = HCF(592,275) = HCF(2051,592) = HCF(2643,2051) = HCF(7337,2643) .

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

Step 1: Since 22707 > 1, we apply the division lemma to 22707 and 1, to get

22707 = 1 x 22707 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 22707 is 1

Notice that 1 = HCF(22707,1) .

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Frequently Asked Questions on HCF of 7337, 2643, 22707 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 7337, 2643, 22707?

Answer: HCF of 7337, 2643, 22707 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7337, 2643, 22707 using Euclid's Algorithm?

Answer: For arbitrary numbers 7337, 2643, 22707 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.