Greatest Common Factor of 5950/167, 2468/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5950/167, 2468/394

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 5950/167,2468/394

Given fractions are 5950/167,2468/394

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 5950,2468

Greatest Common Factor of Numerators i.e. GCF of 5950,2468 is 2 .

LCM of Denominators means LCM of 167,394 as per the given fractions.

LCM of 167,394 is 65798 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5950,2468

GCF of Fractions 5950/167,2468/394 is 2/65798

2 5950, 2468
2975, 1234

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

Greatest Common Factor of 5950,2468 By Matching Biggest Common Factor Method

Greatest Common Factor of 5950,2468 By Matching Biggest Common Factor Method

Factors of 5950

List of positive integer factors of 5950 that divides 5950 without a remainder.

1,2,5,7,10,14,17,25,34,35,50,70,85,119,170,175,238,350,425,595,850,1190,2975,5950

Factors of 2468

List of positive integer factors of 2468 that divides 2468 without a remainder.

1,2,4,617,1234,2468

Greatest Common Factor

We found the factors 5950,2468 . The biggest common factor number is the GCF number.
So the greatest common factor 5950,2468 is 2.

Lets's calculate LCM of 167,394

Given numbers has no common factors except 1. So, there LCM is their product i.e 65798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/65798

Therefore, the GCF of Fractions 5950/167,2468/394 is 2/65798

Least Common Multiple of 167,394 with GCF Formula

Least Common Multiple of 167,394 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 167,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,394) = 1

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

GCF(167,394) x common factors =1 x 1 = 1

LCM(167,394) = ( 167 × 394 ) / 1

LCM(167,394) = 65798 / 1

LCM(167,394) = 65798


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 5950/167, 2468/394

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 5950/167, 2468/394?

Answer: GCF of Numerators as per given numbers 5950/167, 2468/394 is

GCF of Numerators i.e. for 5950,2468 is 2

LCM of denominators i.e. for 167,394 is 65798.

Thus, GCF of Fractions is 2/65798.Finally, GCF of Fractions for 5950/167, 2468/394 is 2/65798.