Greatest Common Factor of 5150/248, 2874/8377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5150/248, 2874/8377

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 5150/248,2874/8377

Given fractions are 5150/248,2874/8377

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 5150,2874

Greatest Common Factor of Numerators i.e. GCF of 5150,2874 is 2 .

LCM of Denominators means LCM of 248,8377 as per the given fractions.

LCM of 248,8377 is 2077496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5150,2874

GCF of Fractions 5150/248,2874/8377 is 2/2077496

2 5150, 2874
2575, 1437

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

Greatest Common Factor of 5150,2874 By Matching Biggest Common Factor Method

Greatest Common Factor of 5150,2874 By Matching Biggest Common Factor Method

Factors of 5150

List of positive integer factors of 5150 that divides 5150 without a remainder.

1,2,5,10,25,50,103,206,515,1030,2575,5150

Factors of 2874

List of positive integer factors of 2874 that divides 2874 without a remainder.

1,2,3,6,479,958,1437,2874

Greatest Common Factor

We found the factors 5150,2874 . The biggest common factor number is the GCF number.
So the greatest common factor 5150,2874 is 2.

Lets's calculate LCM of 248,8377

Given numbers has no common factors except 1. So, there LCM is their product i.e 2077496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2077496

Therefore, the GCF of Fractions 5150/248,2874/8377 is 2/2077496

Least Common Multiple of 248,8377 with GCF Formula

Least Common Multiple of 248,8377 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 248,8377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,8377) = 1

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

GCF(248,8377) x common factors =1 x 1 = 1

LCM(248,8377) = ( 248 × 8377 ) / 1

LCM(248,8377) = 2077496 / 1

LCM(248,8377) = 2077496


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 5150/248, 2874/8377

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 5150/248, 2874/8377?

Answer: GCF of Numerators as per given numbers 5150/248, 2874/8377 is

GCF of Numerators i.e. for 5150,2874 is 2

LCM of denominators i.e. for 248,8377 is 2077496.

Thus, GCF of Fractions is 2/2077496.Finally, GCF of Fractions for 5150/248, 2874/8377 is 2/2077496.