Greatest Common Factor of 733/309, 773/180, 602/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 733/309, 773/180, 602/456

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 733/309,773/180,602/456

Given fractions are 733/309,773/180,602/456

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 733,773,602

Greatest Common Factor of Numerators i.e. GCF of 733,773,602 is 1 .

LCM of Denominators means LCM of 309,180,456 as per the given fractions.

LCM of 309,180,456 is 704520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 733,773,602

GCF of Fractions 733/309,773/180,602/456 is 1/704520

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

Greatest Common Factor of 733,773,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,773,602 By Matching Biggest Common Factor Method

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 733,773,602 . The biggest common factor number is the GCF number.
So the greatest common factor 733,773,602 is 1.

Lets's calculate LCM of 309,180,456

2 309, 180, 456
2 309, 90, 228
3 309, 45, 114
103, 15, 38

∴ So the LCM of the given numbers is 2 x 2 x 3 x 103 x 15 x 38 = 704520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/704520

Therefore, the GCF of Fractions 733/309,773/180,602/456 is 1/704520

Least Common Multiple of 309,180,456 with GCF Formula

Least Common Multiple of 309,180,456 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 309,180,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,180,456) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(309,180,456) x common factors =3 x 12 = 36

LCM(309,180,456) = ( 309 × 180 × 456 ) / 36

LCM(309,180,456) = 25362720 / 36

LCM(309,180,456) = 704520


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 733/309, 773/180, 602/456

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 733/309, 773/180, 602/456?

Answer: GCF of Numerators as per given numbers 733/309, 773/180, 602/456 is

GCF of Numerators i.e. for 733,773,602 is 1

LCM of denominators i.e. for 309,180,456 is 704520.

Thus, GCF of Fractions is 1/704520.Finally, GCF of Fractions for 733/309, 773/180, 602/456 is 1/704520.