Greatest Common Factor of 756/549, 737/952, 650/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/549, 737/952, 650/446

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 756/549,737/952,650/446

Given fractions are 756/549,737/952,650/446

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 756,737,650

Greatest Common Factor of Numerators i.e. GCF of 756,737,650 is 1 .

LCM of Denominators means LCM of 549,952,446 as per the given fractions.

LCM of 549,952,446 is 116550504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,737,650

GCF of Fractions 756/549,737/952,650/446 is 1/116550504

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

Greatest Common Factor of 756,737,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,737,650 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 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

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

Greatest Common Factor

We found the factors 756,737,650 . The biggest common factor number is the GCF number.
So the greatest common factor 756,737,650 is 1.

Lets's calculate LCM of 549,952,446

2 549, 952, 446
549, 476, 223

∴ So the LCM of the given numbers is 2 x 549 x 476 x 223 = 116550504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116550504

Therefore, the GCF of Fractions 756/549,737/952,650/446 is 1/116550504

Least Common Multiple of 549,952,446 with GCF Formula

Least Common Multiple of 549,952,446 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 549,952,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,952,446) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(549,952,446) x common factors =1 x 2 = 2

LCM(549,952,446) = ( 549 × 952 × 446 ) / 2

LCM(549,952,446) = 233101008 / 2

LCM(549,952,446) = 116550504


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 756/549, 737/952, 650/446

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 756/549, 737/952, 650/446?

Answer: GCF of Numerators as per given numbers 756/549, 737/952, 650/446 is

GCF of Numerators i.e. for 756,737,650 is 1

LCM of denominators i.e. for 549,952,446 is 116550504.

Thus, GCF of Fractions is 1/116550504.Finally, GCF of Fractions for 756/549, 737/952, 650/446 is 1/116550504.