Greatest Common Factor of 950/50, 286/2174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 950/50, 286/2174

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 950/50,286/2174

Given fractions are 950/50,286/2174

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 950,286

Greatest Common Factor of Numerators i.e. GCF of 950,286 is 2 .

LCM of Denominators means LCM of 50,2174 as per the given fractions.

LCM of 50,2174 is 54350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 950,286

GCF of Fractions 950/50,286/2174 is 2/54350

2 950, 286
475, 143

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

Greatest Common Factor of 950,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 950,286 By Matching Biggest Common Factor Method

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 950,286 . The biggest common factor number is the GCF number.
So the greatest common factor 950,286 is 2.

Lets's calculate LCM of 50,2174

2 50, 2174
25, 1087

∴ So the LCM of the given numbers is 2 x 25 x 1087 = 54350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54350

Therefore, the GCF of Fractions 950/50,286/2174 is 2/54350

Least Common Multiple of 50,2174 with GCF Formula

Least Common Multiple of 50,2174 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 50,2174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,2174) = 2

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

GCF(50,2174) x common factors =2 x 1 = 2

LCM(50,2174) = ( 50 × 2174 ) / 2

LCM(50,2174) = 108700 / 2

LCM(50,2174) = 54350


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 950/50, 286/2174

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 950/50, 286/2174?

Answer: GCF of Numerators as per given numbers 950/50, 286/2174 is

GCF of Numerators i.e. for 950,286 is 2

LCM of denominators i.e. for 50,2174 is 54350.

Thus, GCF of Fractions is 2/54350.Finally, GCF of Fractions for 950/50, 286/2174 is 2/54350.