Greatest Common Factor of 756/585, 968/538, 103/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/585, 968/538, 103/613

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 756/585,968/538,103/613

Given fractions are 756/585,968/538,103/613

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 756,968,103

Greatest Common Factor of Numerators i.e. GCF of 756,968,103 is 1 .

LCM of Denominators means LCM of 585,538,613 as per the given fractions.

LCM of 585,538,613 is 192929490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,968,103

GCF of Fractions 756/585,968/538,103/613 is 1/192929490

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 756,968,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,968,103 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 756,968,103 . The biggest common factor number is the GCF number.
So the greatest common factor 756,968,103 is 1.

Lets's calculate LCM of 585,538,613

Given numbers has no common factors except 1. So, there LCM is their product i.e 192929490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192929490

Therefore, the GCF of Fractions 756/585,968/538,103/613 is 1/192929490

Least Common Multiple of 585,538,613 with GCF Formula

Least Common Multiple of 585,538,613 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 585,538,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,538,613) = 1

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

GCF(585,538,613) x common factors =1 x 1 = 1

LCM(585,538,613) = ( 585 × 538 × 613 ) / 1

LCM(585,538,613) = 192929490 / 1

LCM(585,538,613) = 192929490


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 756/585, 968/538, 103/613

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 756/585, 968/538, 103/613?

Answer: GCF of Numerators as per given numbers 756/585, 968/538, 103/613 is

GCF of Numerators i.e. for 756,968,103 is 1

LCM of denominators i.e. for 585,538,613 is 192929490.

Thus, GCF of Fractions is 1/192929490.Finally, GCF of Fractions for 756/585, 968/538, 103/613 is 1/192929490.