Greatest Common Factor of 50/146, 875/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 50/146, 875/315

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 50/146,875/315

Given fractions are 50/146,875/315

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 50,875

Greatest Common Factor of Numerators i.e. GCF of 50,875 is 25 .

LCM of Denominators means LCM of 146,315 as per the given fractions.

LCM of 146,315 is 45990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 50,875

GCF of Fractions 50/146,875/315 is 25/45990

5 50, 875
5 10, 175
2, 35

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 50,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,875 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 50,875 . The biggest common factor number is the GCF number.
So the greatest common factor 50,875 is 25.

Lets's calculate LCM of 146,315

Given numbers has no common factors except 1. So, there LCM is their product i.e 45990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/45990

Therefore, the GCF of Fractions 50/146,875/315 is 25/45990

Least Common Multiple of 146,315 with GCF Formula

Least Common Multiple of 146,315 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 146,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,315) = 1

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

GCF(146,315) x common factors =1 x 1 = 1

LCM(146,315) = ( 146 × 315 ) / 1

LCM(146,315) = 45990 / 1

LCM(146,315) = 45990


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 50/146, 875/315

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 50/146, 875/315?

Answer: GCF of Numerators as per given numbers 50/146, 875/315 is

GCF of Numerators i.e. for 50,875 is 25

LCM of denominators i.e. for 146,315 is 45990.

Thus, GCF of Fractions is 25/45990.Finally, GCF of Fractions for 50/146, 875/315 is 25/45990.