Greatest Common Factor of 2450/866, 4484/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2450/866, 4484/928

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 2450/866,4484/928

Given fractions are 2450/866,4484/928

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 2450,4484

Greatest Common Factor of Numerators i.e. GCF of 2450,4484 is 2 .

LCM of Denominators means LCM of 866,928 as per the given fractions.

LCM of 866,928 is 401824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2450,4484

GCF of Fractions 2450/866,4484/928 is 2/401824

2 2450, 4484
1225, 2242

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

Greatest Common Factor of 2450,4484 By Matching Biggest Common Factor Method

Greatest Common Factor of 2450,4484 By Matching Biggest Common Factor Method

Factors of 2450

List of positive integer factors of 2450 that divides 2450 without a remainder.

1,2,5,7,10,14,25,35,49,50,70,98,175,245,350,490,1225,2450

Factors of 4484

List of positive integer factors of 4484 that divides 4484 without a remainder.

1,2,4,19,38,59,76,118,236,1121,2242,4484

Greatest Common Factor

We found the factors 2450,4484 . The biggest common factor number is the GCF number.
So the greatest common factor 2450,4484 is 2.

Lets's calculate LCM of 866,928

2 866, 928
433, 464

∴ So the LCM of the given numbers is 2 x 433 x 464 = 401824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/401824

Therefore, the GCF of Fractions 2450/866,4484/928 is 2/401824

Least Common Multiple of 866,928 with GCF Formula

Least Common Multiple of 866,928 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 866,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,928) = 2

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

GCF(866,928) x common factors =2 x 1 = 2

LCM(866,928) = ( 866 × 928 ) / 2

LCM(866,928) = 803648 / 2

LCM(866,928) = 401824


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 2450/866, 4484/928

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 2450/866, 4484/928?

Answer: GCF of Numerators as per given numbers 2450/866, 4484/928 is

GCF of Numerators i.e. for 2450,4484 is 2

LCM of denominators i.e. for 866,928 is 401824.

Thus, GCF of Fractions is 2/401824.Finally, GCF of Fractions for 2450/866, 4484/928 is 2/401824.