Highest Common Factor of 9037, 3453 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 9037, 3453 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9037, 3453 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 9037, 3453 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 9037, 3453 is 1.

HCF(9037, 3453) = 1

HCF of 9037, 3453 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 9037, 3453 is 1.

Highest Common Factor of 9037,3453 using Euclid's algorithm

Highest Common Factor of 9037,3453 is 1

Step 1: Since 9037 > 3453, we apply the division lemma to 9037 and 3453, to get

9037 = 3453 x 2 + 2131

Step 2: Since the reminder 3453 ≠ 0, we apply division lemma to 2131 and 3453, to get

3453 = 2131 x 1 + 1322

Step 3: We consider the new divisor 2131 and the new remainder 1322, and apply the division lemma to get

2131 = 1322 x 1 + 809

We consider the new divisor 1322 and the new remainder 809,and apply the division lemma to get

1322 = 809 x 1 + 513

We consider the new divisor 809 and the new remainder 513,and apply the division lemma to get

809 = 513 x 1 + 296

We consider the new divisor 513 and the new remainder 296,and apply the division lemma to get

513 = 296 x 1 + 217

We consider the new divisor 296 and the new remainder 217,and apply the division lemma to get

296 = 217 x 1 + 79

We consider the new divisor 217 and the new remainder 79,and apply the division lemma to get

217 = 79 x 2 + 59

We consider the new divisor 79 and the new remainder 59,and apply the division lemma to get

79 = 59 x 1 + 20

We consider the new divisor 59 and the new remainder 20,and apply the division lemma to get

59 = 20 x 2 + 19

We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get

20 = 19 x 1 + 1

We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get

19 = 1 x 19 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9037 and 3453 is 1

Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(59,20) = HCF(79,59) = HCF(217,79) = HCF(296,217) = HCF(513,296) = HCF(809,513) = HCF(1322,809) = HCF(2131,1322) = HCF(3453,2131) = HCF(9037,3453) .

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Frequently Asked Questions on HCF of 9037, 3453 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 9037, 3453?

Answer: HCF of 9037, 3453 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9037, 3453 using Euclid's Algorithm?

Answer: For arbitrary numbers 9037, 3453 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.