Highest Common Factor of 2090, 7541 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 2090, 7541 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2090, 7541 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 2090, 7541 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 2090, 7541 is 1.

HCF(2090, 7541) = 1

HCF of 2090, 7541 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 2090, 7541 is 1.

Highest Common Factor of 2090,7541 using Euclid's algorithm

Highest Common Factor of 2090,7541 is 1

Step 1: Since 7541 > 2090, we apply the division lemma to 7541 and 2090, to get

7541 = 2090 x 3 + 1271

Step 2: Since the reminder 2090 ≠ 0, we apply division lemma to 1271 and 2090, to get

2090 = 1271 x 1 + 819

Step 3: We consider the new divisor 1271 and the new remainder 819, and apply the division lemma to get

1271 = 819 x 1 + 452

We consider the new divisor 819 and the new remainder 452,and apply the division lemma to get

819 = 452 x 1 + 367

We consider the new divisor 452 and the new remainder 367,and apply the division lemma to get

452 = 367 x 1 + 85

We consider the new divisor 367 and the new remainder 85,and apply the division lemma to get

367 = 85 x 4 + 27

We consider the new divisor 85 and the new remainder 27,and apply the division lemma to get

85 = 27 x 3 + 4

We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get

27 = 4 x 6 + 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 2090 and 7541 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(85,27) = HCF(367,85) = HCF(452,367) = HCF(819,452) = HCF(1271,819) = HCF(2090,1271) = HCF(7541,2090) .

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Frequently Asked Questions on HCF of 2090, 7541 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 2090, 7541?

Answer: HCF of 2090, 7541 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2090, 7541 using Euclid's Algorithm?

Answer: For arbitrary numbers 2090, 7541 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.