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GCF of 2643/530, 5517/5464

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 2643/530, 5517/5464 i.e 3/1447960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2643/530, 5517/5464.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2643/530,5517/5464?

Given fractions are 2643/530,5517/5464

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 2643/530,5517/5464, numerators are 2643,5517

Denominators are 530,5464

The GCF of 2643,5517 is 3 .

LCM of 530,5464 is 1447960.

The greatest common factor of 2643/530,5517/5464 = [GCF of 2643,5517]/[LCM of 530,5464]= 3/1447960

Therefore, the GCF of 2643/530,5517/5464 is 3/1447960.

Greatest Common Factor of 2643,5517

To find the highest common factor of 2643,5517, we have to find the factors of both numbers and list the highest common factor.

The factors of 2643 are 1, 3, 881, 2643

The factors of 5517 are 1, 3, 9, 613, 1839, 5517

The HCF of 2643,5517 is 3.

Lets's calculate GCF of 2643,5517

Greatest Common Factor (GCF) of 2643,5517 By Common Division

3 2643, 5517
881, 1839

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2643,5517 By Matching Biggest Common Factor Method

Greatest Common Factor of 2643,5517 By Matching Biggest Common Factor Method

Now, list down the factors of 2643

:

1,3,881,2643

Now, list down the factors of 5517

:

1,3,9,613,1839,5517

Greatest Common Factor

We found the factors 2643,5517 . The biggest common factor number is the GCF number.
So the greatest common factor 2643,5517 is 3.


Lets's calculate LCM of 530,5464

Lowest Common Multiple of 530,5464 using Common Division

2 530, 5464
265, 2732

∴ So the LCM of the given numbers is 2 x 265 x 2732 = 1447960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1447960

Therefore, the GCF of Fractions 2643/530,5517/5464 is 3/1447960

Least Common Multiple of 530,5464 with GCF Formula

Least Common Multiple of 530,5464 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 530,5464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,5464) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(530,5464) x common factors =2 x 1 = 2

LCM(530,5464) = ( 530 × 5464 ) / 2

LCM(530,5464) = 2895920 / 2

LCM(530,5464) = 1447960


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2643/530, 5517/5464

1. What is the HCF of 2643,5517?

The HCF of 2643,5517 is 3

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 2643/530, 5517/5464?

Answer: GCF of Numerators as per given numbers 2643/530, 5517/5464 is

GCF of Numerators i.e. for 2643,5517 is 3

LCM of denominators i.e. for 530,5464 is 1447960.

Thus, GCF of Fractions is 3/1447960.Finally, GCF of Fractions for 2643/530, 5517/5464 is 3/1447960.