Highest Common Factor of 5750, 2413 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 5750, 2413 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5750, 2413 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 5750, 2413 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 5750, 2413 is 1.

HCF(5750, 2413) = 1

HCF of 5750, 2413 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 5750, 2413 is 1.

Highest Common Factor of 5750,2413 using Euclid's algorithm

Highest Common Factor of 5750,2413 is 1

Step 1: Since 5750 > 2413, we apply the division lemma to 5750 and 2413, to get

5750 = 2413 x 2 + 924

Step 2: Since the reminder 2413 ≠ 0, we apply division lemma to 924 and 2413, to get

2413 = 924 x 2 + 565

Step 3: We consider the new divisor 924 and the new remainder 565, and apply the division lemma to get

924 = 565 x 1 + 359

We consider the new divisor 565 and the new remainder 359,and apply the division lemma to get

565 = 359 x 1 + 206

We consider the new divisor 359 and the new remainder 206,and apply the division lemma to get

359 = 206 x 1 + 153

We consider the new divisor 206 and the new remainder 153,and apply the division lemma to get

206 = 153 x 1 + 53

We consider the new divisor 153 and the new remainder 53,and apply the division lemma to get

153 = 53 x 2 + 47

We consider the new divisor 53 and the new remainder 47,and apply the division lemma to get

53 = 47 x 1 + 6

We consider the new divisor 47 and the new remainder 6,and apply the division lemma to get

47 = 6 x 7 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 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 5750 and 2413 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(47,6) = HCF(53,47) = HCF(153,53) = HCF(206,153) = HCF(359,206) = HCF(565,359) = HCF(924,565) = HCF(2413,924) = HCF(5750,2413) .

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Frequently Asked Questions on HCF of 5750, 2413 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 5750, 2413?

Answer: HCF of 5750, 2413 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5750, 2413 using Euclid's Algorithm?

Answer: For arbitrary numbers 5750, 2413 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.