Greatest Common Factor of 9113/30, 2769/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9113/30, 2769/533

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 9113/30,2769/533

Given fractions are 9113/30,2769/533

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 9113,2769

Greatest Common Factor of Numerators i.e. GCF of 9113,2769 is 13 .

LCM of Denominators means LCM of 30,533 as per the given fractions.

LCM of 30,533 is 15990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9113,2769

GCF of Fractions 9113/30,2769/533 is 13/15990

13 9113, 2769
701, 213

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 9113,2769 By Matching Biggest Common Factor Method

Greatest Common Factor of 9113,2769 By Matching Biggest Common Factor Method

Factors of 9113

List of positive integer factors of 9113 that divides 9113 without a remainder.

1,13,701,9113

Factors of 2769

List of positive integer factors of 2769 that divides 2769 without a remainder.

1,3,13,39,71,213,923,2769

Greatest Common Factor

We found the factors 9113,2769 . The biggest common factor number is the GCF number.
So the greatest common factor 9113,2769 is 13.

Lets's calculate LCM of 30,533

Given numbers has no common factors except 1. So, there LCM is their product i.e 15990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/15990

Therefore, the GCF of Fractions 9113/30,2769/533 is 13/15990

Least Common Multiple of 30,533 with GCF Formula

Least Common Multiple of 30,533 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 30,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,533) = 1

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

GCF(30,533) x common factors =1 x 1 = 1

LCM(30,533) = ( 30 × 533 ) / 1

LCM(30,533) = 15990 / 1

LCM(30,533) = 15990


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 9113/30, 2769/533

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 9113/30, 2769/533?

Answer: GCF of Numerators as per given numbers 9113/30, 2769/533 is

GCF of Numerators i.e. for 9113,2769 is 13

LCM of denominators i.e. for 30,533 is 15990.

Thus, GCF of Fractions is 13/15990.Finally, GCF of Fractions for 9113/30, 2769/533 is 13/15990.