Greatest Common Factor of 5959/919, 8378/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5959/919, 8378/182

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 5959/919,8378/182

Given fractions are 5959/919,8378/182

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 5959,8378

Greatest Common Factor of Numerators i.e. GCF of 5959,8378 is 59 .

LCM of Denominators means LCM of 919,182 as per the given fractions.

LCM of 919,182 is 167258 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5959,8378

GCF of Fractions 5959/919,8378/182 is 59/167258

59 5959, 8378
101, 142

∴ So the GCF of the given numbers is 59 = 59

Greatest Common Factor of 5959,8378 By Matching Biggest Common Factor Method

Greatest Common Factor of 5959,8378 By Matching Biggest Common Factor Method

Factors of 5959

List of positive integer factors of 5959 that divides 5959 without a remainder.

1,59,101,5959

Factors of 8378

List of positive integer factors of 8378 that divides 8378 without a remainder.

1,2,59,71,118,142,4189,8378

Greatest Common Factor

We found the factors 5959,8378 . The biggest common factor number is the GCF number.
So the greatest common factor 5959,8378 is 59.

Lets's calculate LCM of 919,182

Given numbers has no common factors except 1. So, there LCM is their product i.e 167258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/167258

Therefore, the GCF of Fractions 5959/919,8378/182 is 59/167258

Least Common Multiple of 919,182 with GCF Formula

Least Common Multiple of 919,182 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 919,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(919,182) = 1

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

GCF(919,182) x common factors =1 x 1 = 1

LCM(919,182) = ( 919 × 182 ) / 1

LCM(919,182) = 167258 / 1

LCM(919,182) = 167258


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 5959/919, 8378/182

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 5959/919, 8378/182?

Answer: GCF of Numerators as per given numbers 5959/919, 8378/182 is

GCF of Numerators i.e. for 5959,8378 is 59

LCM of denominators i.e. for 919,182 is 167258.

Thus, GCF of Fractions is 59/167258.Finally, GCF of Fractions for 5959/919, 8378/182 is 59/167258.