Greatest Common Factor of 9248/392, 7621/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9248/392, 7621/540

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 9248/392,7621/540

Given fractions are 9248/392,7621/540

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 9248,7621

Greatest Common Factor of Numerators i.e. GCF of 9248,7621 is 1 .

LCM of Denominators means LCM of 392,540 as per the given fractions.

LCM of 392,540 is 52920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9248,7621

GCF of Fractions 9248/392,7621/540 is 1/52920

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

Greatest Common Factor of 9248,7621 By Matching Biggest Common Factor Method

Greatest Common Factor of 9248,7621 By Matching Biggest Common Factor Method

Factors of 9248

List of positive integer factors of 9248 that divides 9248 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,289,544,578,1156,2312,4624,9248

Factors of 7621

List of positive integer factors of 7621 that divides 7621 without a remainder.

1,7621

Greatest Common Factor

We found the factors 9248,7621 . The biggest common factor number is the GCF number.
So the greatest common factor 9248,7621 is 1.

Lets's calculate LCM of 392,540

2 392, 540
2 196, 270
98, 135

∴ So the LCM of the given numbers is 2 x 2 x 98 x 135 = 52920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52920

Therefore, the GCF of Fractions 9248/392,7621/540 is 1/52920

Least Common Multiple of 392,540 with GCF Formula

Least Common Multiple of 392,540 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 392,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,540) = 4

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

GCF(392,540) x common factors =4 x 1 = 4

LCM(392,540) = ( 392 × 540 ) / 4

LCM(392,540) = 211680 / 4

LCM(392,540) = 52920


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 9248/392, 7621/540

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 9248/392, 7621/540?

Answer: GCF of Numerators as per given numbers 9248/392, 7621/540 is

GCF of Numerators i.e. for 9248,7621 is 1

LCM of denominators i.e. for 392,540 is 52920.

Thus, GCF of Fractions is 1/52920.Finally, GCF of Fractions for 9248/392, 7621/540 is 1/52920.