Greatest Common Factor of 9933/57, 7049/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9933/57, 7049/788

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 9933/57,7049/788

Given fractions are 9933/57,7049/788

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 9933,7049

Greatest Common Factor of Numerators i.e. GCF of 9933,7049 is 7 .

LCM of Denominators means LCM of 57,788 as per the given fractions.

LCM of 57,788 is 44916 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9933,7049

GCF of Fractions 9933/57,7049/788 is 7/44916

7 9933, 7049
1419, 1007

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 9933,7049 By Matching Biggest Common Factor Method

Greatest Common Factor of 9933,7049 By Matching Biggest Common Factor Method

Factors of 9933

List of positive integer factors of 9933 that divides 9933 without a remainder.

1,3,7,11,21,33,43,77,129,231,301,473,903,1419,3311,9933

Factors of 7049

List of positive integer factors of 7049 that divides 7049 without a remainder.

1,7,19,53,133,371,1007,7049

Greatest Common Factor

We found the factors 9933,7049 . The biggest common factor number is the GCF number.
So the greatest common factor 9933,7049 is 7.

Lets's calculate LCM of 57,788

Given numbers has no common factors except 1. So, there LCM is their product i.e 44916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/44916

Therefore, the GCF of Fractions 9933/57,7049/788 is 7/44916

Least Common Multiple of 57,788 with GCF Formula

Least Common Multiple of 57,788 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 57,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,788) = 1

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

GCF(57,788) x common factors =1 x 1 = 1

LCM(57,788) = ( 57 × 788 ) / 1

LCM(57,788) = 44916 / 1

LCM(57,788) = 44916


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 9933/57, 7049/788

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 9933/57, 7049/788?

Answer: GCF of Numerators as per given numbers 9933/57, 7049/788 is

GCF of Numerators i.e. for 9933,7049 is 7

LCM of denominators i.e. for 57,788 is 44916.

Thus, GCF of Fractions is 7/44916.Finally, GCF of Fractions for 9933/57, 7049/788 is 7/44916.