Greatest Common Factor of 475/57, 455/3123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 475/57, 455/3123

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 475/57,455/3123

Given fractions are 475/57,455/3123

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 475,455

Greatest Common Factor of Numerators i.e. GCF of 475,455 is 5 .

LCM of Denominators means LCM of 57,3123 as per the given fractions.

LCM of 57,3123 is 59337 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 475,455

GCF of Fractions 475/57,455/3123 is 5/59337

5 475, 455
95, 91

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 475,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,455 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 475,455 . The biggest common factor number is the GCF number.
So the greatest common factor 475,455 is 5.

Lets's calculate LCM of 57,3123

3 57, 3123
19, 1041

∴ So the LCM of the given numbers is 3 x 19 x 1041 = 59337

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/59337

Therefore, the GCF of Fractions 475/57,455/3123 is 5/59337

Least Common Multiple of 57,3123 with GCF Formula

Least Common Multiple of 57,3123 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 57,3123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,3123) = 3

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

GCF(57,3123) x common factors =3 x 1 = 3

LCM(57,3123) = ( 57 × 3123 ) / 3

LCM(57,3123) = 178011 / 3

LCM(57,3123) = 59337


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 475/57, 455/3123

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 475/57, 455/3123?

Answer: GCF of Numerators as per given numbers 475/57, 455/3123 is

GCF of Numerators i.e. for 475,455 is 5

LCM of denominators i.e. for 57,3123 is 59337.

Thus, GCF of Fractions is 5/59337.Finally, GCF of Fractions for 475/57, 455/3123 is 5/59337.