Greatest Common Factor of 2912/531, 1253/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2912/531, 1253/809

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 2912/531,1253/809

Given fractions are 2912/531,1253/809

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 2912,1253

Greatest Common Factor of Numerators i.e. GCF of 2912,1253 is 7 .

LCM of Denominators means LCM of 531,809 as per the given fractions.

LCM of 531,809 is 429579 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2912,1253

GCF of Fractions 2912/531,1253/809 is 7/429579

7 2912, 1253
416, 179

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

Greatest Common Factor of 2912,1253 By Matching Biggest Common Factor Method

Greatest Common Factor of 2912,1253 By Matching Biggest Common Factor Method

Factors of 2912

List of positive integer factors of 2912 that divides 2912 without a remainder.

1,2,4,7,8,13,14,16,26,28,32,52,56,91,104,112,182,208,224,364,416,728,1456,2912

Factors of 1253

List of positive integer factors of 1253 that divides 1253 without a remainder.

1,7,179,1253

Greatest Common Factor

We found the factors 2912,1253 . The biggest common factor number is the GCF number.
So the greatest common factor 2912,1253 is 7.

Lets's calculate LCM of 531,809

Given numbers has no common factors except 1. So, there LCM is their product i.e 429579

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/429579

Therefore, the GCF of Fractions 2912/531,1253/809 is 7/429579

Least Common Multiple of 531,809 with GCF Formula

Least Common Multiple of 531,809 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 531,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(531,809) = 1

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

GCF(531,809) x common factors =1 x 1 = 1

LCM(531,809) = ( 531 × 809 ) / 1

LCM(531,809) = 429579 / 1

LCM(531,809) = 429579


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 2912/531, 1253/809

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 2912/531, 1253/809?

Answer: GCF of Numerators as per given numbers 2912/531, 1253/809 is

GCF of Numerators i.e. for 2912,1253 is 7

LCM of denominators i.e. for 531,809 is 429579.

Thus, GCF of Fractions is 7/429579.Finally, GCF of Fractions for 2912/531, 1253/809 is 7/429579.