Greatest Common Factor of 756/78, 573/19, 554/95

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/78, 573/19, 554/95

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 756/78,573/19,554/95

Given fractions are 756/78,573/19,554/95

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 756,573,554

Greatest Common Factor of Numerators i.e. GCF of 756,573,554 is 1 .

LCM of Denominators means LCM of 78,19,95 as per the given fractions.

LCM of 78,19,95 is 7410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,573,554

GCF of Fractions 756/78,573/19,554/95 is 1/7410

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

Greatest Common Factor of 756,573,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,573,554 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 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 756,573,554 . The biggest common factor number is the GCF number.
So the greatest common factor 756,573,554 is 1.

Lets's calculate LCM of 78,19,95

19 78, 19, 95
78, 1, 5

∴ So the LCM of the given numbers is 19 x 78 x 1 x 5 = 7410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7410

Therefore, the GCF of Fractions 756/78,573/19,554/95 is 1/7410

Least Common Multiple of 78,19,95 with GCF Formula

Least Common Multiple of 78,19,95 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 78,19,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,19,95) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(78,19,95) x common factors =1 x 19 = 19

LCM(78,19,95) = ( 78 × 19 × 95 ) / 19

LCM(78,19,95) = 140790 / 19

LCM(78,19,95) = 7410


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 756/78, 573/19, 554/95

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 756/78, 573/19, 554/95?

Answer: GCF of Numerators as per given numbers 756/78, 573/19, 554/95 is

GCF of Numerators i.e. for 756,573,554 is 1

LCM of denominators i.e. for 78,19,95 is 7410.

Thus, GCF of Fractions is 1/7410.Finally, GCF of Fractions for 756/78, 573/19, 554/95 is 1/7410.