Greatest Common Factor of 602/723, 9475/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 602/723, 9475/128

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 602/723,9475/128

Given fractions are 602/723,9475/128

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 602,9475

Greatest Common Factor of Numerators i.e. GCF of 602,9475 is 1 .

LCM of Denominators means LCM of 723,128 as per the given fractions.

LCM of 723,128 is 92544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 602,9475

GCF of Fractions 602/723,9475/128 is 1/92544

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

Greatest Common Factor of 602,9475 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,9475 By Matching Biggest Common Factor Method

Factors of 602

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

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

Factors of 9475

List of positive integer factors of 9475 that divides 9475 without a remainder.

1,5,25,379,1895,9475

Greatest Common Factor

We found the factors 602,9475 . The biggest common factor number is the GCF number.
So the greatest common factor 602,9475 is 1.

Lets's calculate LCM of 723,128

Given numbers has no common factors except 1. So, there LCM is their product i.e 92544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92544

Therefore, the GCF of Fractions 602/723,9475/128 is 1/92544

Least Common Multiple of 723,128 with GCF Formula

Least Common Multiple of 723,128 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 723,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,128) = 1

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

GCF(723,128) x common factors =1 x 1 = 1

LCM(723,128) = ( 723 × 128 ) / 1

LCM(723,128) = 92544 / 1

LCM(723,128) = 92544


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 602/723, 9475/128

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 602/723, 9475/128?

Answer: GCF of Numerators as per given numbers 602/723, 9475/128 is

GCF of Numerators i.e. for 602,9475 is 1

LCM of denominators i.e. for 723,128 is 92544.

Thus, GCF of Fractions is 1/92544.Finally, GCF of Fractions for 602/723, 9475/128 is 1/92544.