Greatest Common Factor of 3032/59, 1308/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3032/59, 1308/475

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 3032/59,1308/475

Given fractions are 3032/59,1308/475

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 3032,1308

Greatest Common Factor of Numerators i.e. GCF of 3032,1308 is 4 .

LCM of Denominators means LCM of 59,475 as per the given fractions.

LCM of 59,475 is 28025 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3032,1308

GCF of Fractions 3032/59,1308/475 is 4/28025

2 3032, 1308
2 1516, 654
758, 327

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3032,1308 By Matching Biggest Common Factor Method

Greatest Common Factor of 3032,1308 By Matching Biggest Common Factor Method

Factors of 3032

List of positive integer factors of 3032 that divides 3032 without a remainder.

1,2,4,8,379,758,1516,3032

Factors of 1308

List of positive integer factors of 1308 that divides 1308 without a remainder.

1,2,3,4,6,12,109,218,327,436,654,1308

Greatest Common Factor

We found the factors 3032,1308 . The biggest common factor number is the GCF number.
So the greatest common factor 3032,1308 is 4.

Lets's calculate LCM of 59,475

Given numbers has no common factors except 1. So, there LCM is their product i.e 28025

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/28025

Therefore, the GCF of Fractions 3032/59,1308/475 is 4/28025

Least Common Multiple of 59,475 with GCF Formula

Least Common Multiple of 59,475 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 59,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,475) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(59,475) x common factors =1 x 1 = 1

LCM(59,475) = ( 59 × 475 ) / 1

LCM(59,475) = 28025 / 1

LCM(59,475) = 28025


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 3032/59, 1308/475

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 3032/59, 1308/475?

Answer: GCF of Numerators as per given numbers 3032/59, 1308/475 is

GCF of Numerators i.e. for 3032,1308 is 4

LCM of denominators i.e. for 59,475 is 28025.

Thus, GCF of Fractions is 4/28025.Finally, GCF of Fractions for 3032/59, 1308/475 is 4/28025.