Greatest Common Factor of 9236/774, 7347/4703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9236/774, 7347/4703

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 9236/774,7347/4703

Given fractions are 9236/774,7347/4703

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 9236,7347

Greatest Common Factor of Numerators i.e. GCF of 9236,7347 is 1 .

LCM of Denominators means LCM of 774,4703 as per the given fractions.

LCM of 774,4703 is 3640122 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9236,7347

GCF of Fractions 9236/774,7347/4703 is 1/3640122

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

Greatest Common Factor of 9236,7347 By Matching Biggest Common Factor Method

Greatest Common Factor of 9236,7347 By Matching Biggest Common Factor Method

Factors of 9236

List of positive integer factors of 9236 that divides 9236 without a remainder.

1,2,4,2309,4618,9236

Factors of 7347

List of positive integer factors of 7347 that divides 7347 without a remainder.

1,3,31,79,93,237,2449,7347

Greatest Common Factor

We found the factors 9236,7347 . The biggest common factor number is the GCF number.
So the greatest common factor 9236,7347 is 1.

Lets's calculate LCM of 774,4703

Given numbers has no common factors except 1. So, there LCM is their product i.e 3640122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3640122

Therefore, the GCF of Fractions 9236/774,7347/4703 is 1/3640122

Least Common Multiple of 774,4703 with GCF Formula

Least Common Multiple of 774,4703 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 774,4703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,4703) = 1

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

GCF(774,4703) x common factors =1 x 1 = 1

LCM(774,4703) = ( 774 × 4703 ) / 1

LCM(774,4703) = 3640122 / 1

LCM(774,4703) = 3640122


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 9236/774, 7347/4703

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 9236/774, 7347/4703?

Answer: GCF of Numerators as per given numbers 9236/774, 7347/4703 is

GCF of Numerators i.e. for 9236,7347 is 1

LCM of denominators i.e. for 774,4703 is 3640122.

Thus, GCF of Fractions is 1/3640122.Finally, GCF of Fractions for 9236/774, 7347/4703 is 1/3640122.