Highest Common Factor of 7309, 3683, 73357 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 7309, 3683, 73357 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7309, 3683, 73357 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 7309, 3683, 73357 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 7309, 3683, 73357 is 1.

HCF(7309, 3683, 73357) = 1

HCF of 7309, 3683, 73357 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 7309, 3683, 73357 is 1.

Highest Common Factor of 7309,3683,73357 using Euclid's algorithm

Highest Common Factor of 7309,3683,73357 is 1

Step 1: Since 7309 > 3683, we apply the division lemma to 7309 and 3683, to get

7309 = 3683 x 1 + 3626

Step 2: Since the reminder 3683 ≠ 0, we apply division lemma to 3626 and 3683, to get

3683 = 3626 x 1 + 57

Step 3: We consider the new divisor 3626 and the new remainder 57, and apply the division lemma to get

3626 = 57 x 63 + 35

We consider the new divisor 57 and the new remainder 35,and apply the division lemma to get

57 = 35 x 1 + 22

We consider the new divisor 35 and the new remainder 22,and apply the division lemma to get

35 = 22 x 1 + 13

We consider the new divisor 22 and the new remainder 13,and apply the division lemma to get

22 = 13 x 1 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7309 and 3683 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(22,13) = HCF(35,22) = HCF(57,35) = HCF(3626,57) = HCF(3683,3626) = HCF(7309,3683) .

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

Step 1: Since 73357 > 1, we apply the division lemma to 73357 and 1, to get

73357 = 1 x 73357 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 73357 is 1

Notice that 1 = HCF(73357,1) .

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Frequently Asked Questions on HCF of 7309, 3683, 73357 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 7309, 3683, 73357?

Answer: HCF of 7309, 3683, 73357 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7309, 3683, 73357 using Euclid's Algorithm?

Answer: For arbitrary numbers 7309, 3683, 73357 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.