Greatest Common Factor of 650/948, 757/228, 359/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 650/948, 757/228, 359/798

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 650/948,757/228,359/798

Given fractions are 650/948,757/228,359/798

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 650,757,359

Greatest Common Factor of Numerators i.e. GCF of 650,757,359 is 1 .

LCM of Denominators means LCM of 948,228,798 as per the given fractions.

LCM of 948,228,798 is 126084 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 650,757,359

GCF of Fractions 650/948,757/228,359/798 is 1/126084

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

Greatest Common Factor of 650,757,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,757,359 By Matching Biggest Common Factor Method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 650,757,359 . The biggest common factor number is the GCF number.
So the greatest common factor 650,757,359 is 1.

Lets's calculate LCM of 948,228,798

2 948, 228, 798
2 474, 114, 399
3 237, 57, 399
19 79, 19, 133
79, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 79 x 1 x 7 = 126084

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126084

Therefore, the GCF of Fractions 650/948,757/228,359/798 is 1/126084

Least Common Multiple of 948,228,798 with GCF Formula

Least Common Multiple of 948,228,798 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 948,228,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,228,798) = 6

common factors(in case of two or more numbers have common factors) = 228

GCF(948,228,798) x common factors =6 x 228 = 1368

LCM(948,228,798) = ( 948 × 228 × 798 ) / 1368

LCM(948,228,798) = 172482912 / 1368

LCM(948,228,798) = 126084


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 650/948, 757/228, 359/798

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 650/948, 757/228, 359/798?

Answer: GCF of Numerators as per given numbers 650/948, 757/228, 359/798 is

GCF of Numerators i.e. for 650,757,359 is 1

LCM of denominators i.e. for 948,228,798 is 126084.

Thus, GCF of Fractions is 1/126084.Finally, GCF of Fractions for 650/948, 757/228, 359/798 is 1/126084.