Greatest Common Factor of 9253/464, 9992/6240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9253/464, 9992/6240

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 9253/464,9992/6240

Given fractions are 9253/464,9992/6240

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 9253,9992

Greatest Common Factor of Numerators i.e. GCF of 9253,9992 is 1 .

LCM of Denominators means LCM of 464,6240 as per the given fractions.

LCM of 464,6240 is 180960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9253,9992

GCF of Fractions 9253/464,9992/6240 is 1/180960

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

Greatest Common Factor of 9253,9992 By Matching Biggest Common Factor Method

Greatest Common Factor of 9253,9992 By Matching Biggest Common Factor Method

Factors of 9253

List of positive integer factors of 9253 that divides 9253 without a remainder.

1,19,487,9253

Factors of 9992

List of positive integer factors of 9992 that divides 9992 without a remainder.

1,2,4,8,1249,2498,4996,9992

Greatest Common Factor

We found the factors 9253,9992 . The biggest common factor number is the GCF number.
So the greatest common factor 9253,9992 is 1.

Lets's calculate LCM of 464,6240

2 464, 6240
2 232, 3120
2 116, 1560
2 58, 780
29, 390

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 29 x 390 = 180960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180960

Therefore, the GCF of Fractions 9253/464,9992/6240 is 1/180960

Least Common Multiple of 464,6240 with GCF Formula

Least Common Multiple of 464,6240 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 464,6240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,6240) = 16

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

GCF(464,6240) x common factors =16 x 1 = 16

LCM(464,6240) = ( 464 × 6240 ) / 16

LCM(464,6240) = 2895360 / 16

LCM(464,6240) = 180960


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 9253/464, 9992/6240

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 9253/464, 9992/6240?

Answer: GCF of Numerators as per given numbers 9253/464, 9992/6240 is

GCF of Numerators i.e. for 9253,9992 is 1

LCM of denominators i.e. for 464,6240 is 180960.

Thus, GCF of Fractions is 1/180960.Finally, GCF of Fractions for 9253/464, 9992/6240 is 1/180960.