Greatest Common Factor of 5258/985, 2912/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5258/985, 2912/458

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 5258/985,2912/458

Given fractions are 5258/985,2912/458

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 5258,2912

Greatest Common Factor of Numerators i.e. GCF of 5258,2912 is 2 .

LCM of Denominators means LCM of 985,458 as per the given fractions.

LCM of 985,458 is 451130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5258,2912

GCF of Fractions 5258/985,2912/458 is 2/451130

2 5258, 2912
2629, 1456

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5258,2912 By Matching Biggest Common Factor Method

Greatest Common Factor of 5258,2912 By Matching Biggest Common Factor Method

Factors of 5258

List of positive integer factors of 5258 that divides 5258 without a remainder.

1,2,11,22,239,478,2629,5258

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

Greatest Common Factor

We found the factors 5258,2912 . The biggest common factor number is the GCF number.
So the greatest common factor 5258,2912 is 2.

Lets's calculate LCM of 985,458

Given numbers has no common factors except 1. So, there LCM is their product i.e 451130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/451130

Therefore, the GCF of Fractions 5258/985,2912/458 is 2/451130

Least Common Multiple of 985,458 with GCF Formula

Least Common Multiple of 985,458 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 985,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(985,458) = 1

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

GCF(985,458) x common factors =1 x 1 = 1

LCM(985,458) = ( 985 × 458 ) / 1

LCM(985,458) = 451130 / 1

LCM(985,458) = 451130


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 5258/985, 2912/458

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 5258/985, 2912/458?

Answer: GCF of Numerators as per given numbers 5258/985, 2912/458 is

GCF of Numerators i.e. for 5258,2912 is 2

LCM of denominators i.e. for 985,458 is 451130.

Thus, GCF of Fractions is 2/451130.Finally, GCF of Fractions for 5258/985, 2912/458 is 2/451130.