Highest Common Factor of 744, 2530, 3560 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 744, 2530, 3560 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 744, 2530, 3560 is 2 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 744, 2530, 3560 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 744, 2530, 3560 is 2.

HCF(744, 2530, 3560) = 2

HCF of 744, 2530, 3560 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 744, 2530, 3560 is 2.

Highest Common Factor of 744,2530,3560 using Euclid's algorithm

Highest Common Factor of 744,2530,3560 is 2

Step 1: Since 2530 > 744, we apply the division lemma to 2530 and 744, to get

2530 = 744 x 3 + 298

Step 2: Since the reminder 744 ≠ 0, we apply division lemma to 298 and 744, to get

744 = 298 x 2 + 148

Step 3: We consider the new divisor 298 and the new remainder 148, and apply the division lemma to get

298 = 148 x 2 + 2

We consider the new divisor 148 and the new remainder 2, and apply the division lemma to get

148 = 2 x 74 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 744 and 2530 is 2

Notice that 2 = HCF(148,2) = HCF(298,148) = HCF(744,298) = HCF(2530,744) .


We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 3560 > 2, we apply the division lemma to 3560 and 2, to get

3560 = 2 x 1780 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 3560 is 2

Notice that 2 = HCF(3560,2) .

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Frequently Asked Questions on HCF of 744, 2530, 3560 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 744, 2530, 3560?

Answer: HCF of 744, 2530, 3560 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 744, 2530, 3560 using Euclid's Algorithm?

Answer: For arbitrary numbers 744, 2530, 3560 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.