Greatest Common Factor of 9942/64, 2795/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9942/64, 2795/575

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 9942/64,2795/575

Given fractions are 9942/64,2795/575

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 9942,2795

Greatest Common Factor of Numerators i.e. GCF of 9942,2795 is 1 .

LCM of Denominators means LCM of 64,575 as per the given fractions.

LCM of 64,575 is 36800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9942,2795

GCF of Fractions 9942/64,2795/575 is 1/36800

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

Greatest Common Factor of 9942,2795 By Matching Biggest Common Factor Method

Greatest Common Factor of 9942,2795 By Matching Biggest Common Factor Method

Factors of 9942

List of positive integer factors of 9942 that divides 9942 without a remainder.

1,2,3,6,1657,3314,4971,9942

Factors of 2795

List of positive integer factors of 2795 that divides 2795 without a remainder.

1,5,13,43,65,215,559,2795

Greatest Common Factor

We found the factors 9942,2795 . The biggest common factor number is the GCF number.
So the greatest common factor 9942,2795 is 1.

Lets's calculate LCM of 64,575

Given numbers has no common factors except 1. So, there LCM is their product i.e 36800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36800

Therefore, the GCF of Fractions 9942/64,2795/575 is 1/36800

Least Common Multiple of 64,575 with GCF Formula

Least Common Multiple of 64,575 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 64,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,575) = 1

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

GCF(64,575) x common factors =1 x 1 = 1

LCM(64,575) = ( 64 × 575 ) / 1

LCM(64,575) = 36800 / 1

LCM(64,575) = 36800


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 9942/64, 2795/575

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 9942/64, 2795/575?

Answer: GCF of Numerators as per given numbers 9942/64, 2795/575 is

GCF of Numerators i.e. for 9942,2795 is 1

LCM of denominators i.e. for 64,575 is 36800.

Thus, GCF of Fractions is 1/36800.Finally, GCF of Fractions for 9942/64, 2795/575 is 1/36800.