Greatest Common Factor of 7367/42, 4947/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7367/42, 4947/949

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 7367/42,4947/949

Given fractions are 7367/42,4947/949

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 7367,4947

Greatest Common Factor of Numerators i.e. GCF of 7367,4947 is 1 .

LCM of Denominators means LCM of 42,949 as per the given fractions.

LCM of 42,949 is 39858 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7367,4947

GCF of Fractions 7367/42,4947/949 is 1/39858

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

Greatest Common Factor of 7367,4947 By Matching Biggest Common Factor Method

Greatest Common Factor of 7367,4947 By Matching Biggest Common Factor Method

Factors of 7367

List of positive integer factors of 7367 that divides 7367 without a remainder.

1,53,139,7367

Factors of 4947

List of positive integer factors of 4947 that divides 4947 without a remainder.

1,3,17,51,97,291,1649,4947

Greatest Common Factor

We found the factors 7367,4947 . The biggest common factor number is the GCF number.
So the greatest common factor 7367,4947 is 1.

Lets's calculate LCM of 42,949

Given numbers has no common factors except 1. So, there LCM is their product i.e 39858

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39858

Therefore, the GCF of Fractions 7367/42,4947/949 is 1/39858

Least Common Multiple of 42,949 with GCF Formula

Least Common Multiple of 42,949 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 42,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,949) = 1

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

GCF(42,949) x common factors =1 x 1 = 1

LCM(42,949) = ( 42 × 949 ) / 1

LCM(42,949) = 39858 / 1

LCM(42,949) = 39858


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 7367/42, 4947/949

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 7367/42, 4947/949?

Answer: GCF of Numerators as per given numbers 7367/42, 4947/949 is

GCF of Numerators i.e. for 7367,4947 is 1

LCM of denominators i.e. for 42,949 is 39858.

Thus, GCF of Fractions is 1/39858.Finally, GCF of Fractions for 7367/42, 4947/949 is 1/39858.