Greatest Common Factor of 115/280, 942/300, 653/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 115/280, 942/300, 653/707

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 115/280,942/300,653/707

Given fractions are 115/280,942/300,653/707

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 115,942,653

Greatest Common Factor of Numerators i.e. GCF of 115,942,653 is 1 .

LCM of Denominators means LCM of 280,300,707 as per the given fractions.

LCM of 280,300,707 is 424200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 115,942,653

GCF of Fractions 115/280,942/300,653/707 is 1/424200

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

Greatest Common Factor of 115,942,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,942,653 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 115,942,653 . The biggest common factor number is the GCF number.
So the greatest common factor 115,942,653 is 1.

Lets's calculate LCM of 280,300,707

2 280, 300, 707
2 140, 150, 707
5 70, 75, 707
7 14, 15, 707
2, 15, 101

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 2 x 15 x 101 = 424200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/424200

Therefore, the GCF of Fractions 115/280,942/300,653/707 is 1/424200

Least Common Multiple of 280,300,707 with GCF Formula

Least Common Multiple of 280,300,707 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 280,300,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,300,707) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(280,300,707) x common factors =1 x 140 = 140

LCM(280,300,707) = ( 280 × 300 × 707 ) / 140

LCM(280,300,707) = 59388000 / 140

LCM(280,300,707) = 424200


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 115/280, 942/300, 653/707

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 115/280, 942/300, 653/707?

Answer: GCF of Numerators as per given numbers 115/280, 942/300, 653/707 is

GCF of Numerators i.e. for 115,942,653 is 1

LCM of denominators i.e. for 280,300,707 is 424200.

Thus, GCF of Fractions is 1/424200.Finally, GCF of Fractions for 115/280, 942/300, 653/707 is 1/424200.