Highest Common Factor of 5240, 2361 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 5240, 2361 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5240, 2361 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 5240, 2361 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 5240, 2361 is 1.

HCF(5240, 2361) = 1

HCF of 5240, 2361 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 5240, 2361 is 1.

Highest Common Factor of 5240,2361 using Euclid's algorithm

Highest Common Factor of 5240,2361 is 1

Step 1: Since 5240 > 2361, we apply the division lemma to 5240 and 2361, to get

5240 = 2361 x 2 + 518

Step 2: Since the reminder 2361 ≠ 0, we apply division lemma to 518 and 2361, to get

2361 = 518 x 4 + 289

Step 3: We consider the new divisor 518 and the new remainder 289, and apply the division lemma to get

518 = 289 x 1 + 229

We consider the new divisor 289 and the new remainder 229,and apply the division lemma to get

289 = 229 x 1 + 60

We consider the new divisor 229 and the new remainder 60,and apply the division lemma to get

229 = 60 x 3 + 49

We consider the new divisor 60 and the new remainder 49,and apply the division lemma to get

60 = 49 x 1 + 11

We consider the new divisor 49 and the new remainder 11,and apply the division lemma to get

49 = 11 x 4 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5240 and 2361 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(49,11) = HCF(60,49) = HCF(229,60) = HCF(289,229) = HCF(518,289) = HCF(2361,518) = HCF(5240,2361) .

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Frequently Asked Questions on HCF of 5240, 2361 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 5240, 2361?

Answer: HCF of 5240, 2361 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5240, 2361 using Euclid's Algorithm?

Answer: For arbitrary numbers 5240, 2361 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.