Greatest Common Factor of 5472/581, 6764/2588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5472/581, 6764/2588

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 5472/581,6764/2588

Given fractions are 5472/581,6764/2588

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5472,6764

Greatest Common Factor of Numerators i.e. GCF of 5472,6764 is 76 .

LCM of Denominators means LCM of 581,2588 as per the given fractions.

LCM of 581,2588 is 1503628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5472,6764

GCF of Fractions 5472/581,6764/2588 is 76/1503628

2 5472, 6764
2 2736, 3382
19 1368, 1691
72, 89

∴ So the GCF of the given numbers is 2 x 2 x 19 = 76

Greatest Common Factor of 5472,6764 By Matching Biggest Common Factor Method

Greatest Common Factor of 5472,6764 By Matching Biggest Common Factor Method

Factors of 5472

List of positive integer factors of 5472 that divides 5472 without a remainder.

1,2,3,4,6,8,9,12,16,18,19,24,32,36,38,48,57,72,76,96,114,144,152,171,228,288,304,342,456,608,684,912,1368,1824,2736,5472

Factors of 6764

List of positive integer factors of 6764 that divides 6764 without a remainder.

1,2,4,19,38,76,89,178,356,1691,3382,6764

Greatest Common Factor

We found the factors 5472,6764 . The biggest common factor number is the GCF number.
So the greatest common factor 5472,6764 is 76.

Lets's calculate LCM of 581,2588

Given numbers has no common factors except 1. So, there LCM is their product i.e 1503628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 76/1503628

Therefore, the GCF of Fractions 5472/581,6764/2588 is 76/1503628

Least Common Multiple of 581,2588 with GCF Formula

Least Common Multiple of 581,2588 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 581,2588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,2588) = 1

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

GCF(581,2588) x common factors =1 x 1 = 1

LCM(581,2588) = ( 581 × 2588 ) / 1

LCM(581,2588) = 1503628 / 1

LCM(581,2588) = 1503628


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5472/581, 6764/2588

1. 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.

2. What is the GCF of Fractions for 5472/581, 6764/2588?

Answer: GCF of Numerators as per given numbers 5472/581, 6764/2588 is

GCF of Numerators i.e. for 5472,6764 is 76

LCM of denominators i.e. for 581,2588 is 1503628.

Thus, GCF of Fractions is 76/1503628.Finally, GCF of Fractions for 5472/581, 6764/2588 is 76/1503628.