Highest Common Factor of 9012, 3793 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 9012, 3793 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9012, 3793 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 9012, 3793 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 9012, 3793 is 1.

HCF(9012, 3793) = 1

HCF of 9012, 3793 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 9012, 3793 is 1.

Highest Common Factor of 9012,3793 using Euclid's algorithm

Highest Common Factor of 9012,3793 is 1

Step 1: Since 9012 > 3793, we apply the division lemma to 9012 and 3793, to get

9012 = 3793 x 2 + 1426

Step 2: Since the reminder 3793 ≠ 0, we apply division lemma to 1426 and 3793, to get

3793 = 1426 x 2 + 941

Step 3: We consider the new divisor 1426 and the new remainder 941, and apply the division lemma to get

1426 = 941 x 1 + 485

We consider the new divisor 941 and the new remainder 485,and apply the division lemma to get

941 = 485 x 1 + 456

We consider the new divisor 485 and the new remainder 456,and apply the division lemma to get

485 = 456 x 1 + 29

We consider the new divisor 456 and the new remainder 29,and apply the division lemma to get

456 = 29 x 15 + 21

We consider the new divisor 29 and the new remainder 21,and apply the division lemma to get

29 = 21 x 1 + 8

We consider the new divisor 21 and the new remainder 8,and apply the division lemma to get

21 = 8 x 2 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 9012 and 3793 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(29,21) = HCF(456,29) = HCF(485,456) = HCF(941,485) = HCF(1426,941) = HCF(3793,1426) = HCF(9012,3793) .

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Frequently Asked Questions on HCF of 9012, 3793 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 9012, 3793?

Answer: HCF of 9012, 3793 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9012, 3793 using Euclid's Algorithm?

Answer: For arbitrary numbers 9012, 3793 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.