Greatest Common Factor of 1710/27, 5776/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1710/27, 5776/612

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 1710/27,5776/612

Given fractions are 1710/27,5776/612

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 1710,5776

Greatest Common Factor of Numerators i.e. GCF of 1710,5776 is 38 .

LCM of Denominators means LCM of 27,612 as per the given fractions.

LCM of 27,612 is 1836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1710,5776

GCF of Fractions 1710/27,5776/612 is 38/1836

2 1710, 5776
19 855, 2888
45, 152

∴ So the GCF of the given numbers is 2 x 19 = 38

Greatest Common Factor of 1710,5776 By Matching Biggest Common Factor Method

Greatest Common Factor of 1710,5776 By Matching Biggest Common Factor Method

Factors of 1710

List of positive integer factors of 1710 that divides 1710 without a remainder.

1,2,3,5,6,9,10,15,18,19,30,38,45,57,90,95,114,171,190,285,342,570,855,1710

Factors of 5776

List of positive integer factors of 5776 that divides 5776 without a remainder.

1,2,4,8,16,19,38,76,152,304,361,722,1444,2888,5776

Greatest Common Factor

We found the factors 1710,5776 . The biggest common factor number is the GCF number.
So the greatest common factor 1710,5776 is 38.

Lets's calculate LCM of 27,612

3 27, 612
3 9, 204
3, 68

∴ So the LCM of the given numbers is 3 x 3 x 3 x 68 = 1836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/1836

Therefore, the GCF of Fractions 1710/27,5776/612 is 38/1836

Least Common Multiple of 27,612 with GCF Formula

Least Common Multiple of 27,612 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 27,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,612) = 9

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

GCF(27,612) x common factors =9 x 1 = 9

LCM(27,612) = ( 27 × 612 ) / 9

LCM(27,612) = 16524 / 9

LCM(27,612) = 1836


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 1710/27, 5776/612

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 1710/27, 5776/612?

Answer: GCF of Numerators as per given numbers 1710/27, 5776/612 is

GCF of Numerators i.e. for 1710,5776 is 38

LCM of denominators i.e. for 27,612 is 1836.

Thus, GCF of Fractions is 38/1836.Finally, GCF of Fractions for 1710/27, 5776/612 is 38/1836.