Highest Common Factor of 2493, 5570 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 2493, 5570 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2493, 5570 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 2493, 5570 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 2493, 5570 is 1.

HCF(2493, 5570) = 1

HCF of 2493, 5570 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 2493, 5570 is 1.

Highest Common Factor of 2493,5570 using Euclid's algorithm

Highest Common Factor of 2493,5570 is 1

Step 1: Since 5570 > 2493, we apply the division lemma to 5570 and 2493, to get

5570 = 2493 x 2 + 584

Step 2: Since the reminder 2493 ≠ 0, we apply division lemma to 584 and 2493, to get

2493 = 584 x 4 + 157

Step 3: We consider the new divisor 584 and the new remainder 157, and apply the division lemma to get

584 = 157 x 3 + 113

We consider the new divisor 157 and the new remainder 113,and apply the division lemma to get

157 = 113 x 1 + 44

We consider the new divisor 113 and the new remainder 44,and apply the division lemma to get

113 = 44 x 2 + 25

We consider the new divisor 44 and the new remainder 25,and apply the division lemma to get

44 = 25 x 1 + 19

We consider the new divisor 25 and the new remainder 19,and apply the division lemma to get

25 = 19 x 1 + 6

We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get

19 = 6 x 3 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2493 and 5570 is 1

Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(25,19) = HCF(44,25) = HCF(113,44) = HCF(157,113) = HCF(584,157) = HCF(2493,584) = HCF(5570,2493) .

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Frequently Asked Questions on HCF of 2493, 5570 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 2493, 5570?

Answer: HCF of 2493, 5570 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2493, 5570 using Euclid's Algorithm?

Answer: For arbitrary numbers 2493, 5570 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.