Greatest Common Factor of 50/278, 369/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 50/278, 369/153

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 50/278,369/153

Given fractions are 50/278,369/153

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 50,369

Greatest Common Factor of Numerators i.e. GCF of 50,369 is 1 .

LCM of Denominators means LCM of 278,153 as per the given fractions.

LCM of 278,153 is 42534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 50,369

GCF of Fractions 50/278,369/153 is 1/42534

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 50,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,369 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 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Greatest Common Factor

We found the factors 50,369 . The biggest common factor number is the GCF number.
So the greatest common factor 50,369 is 1.

Lets's calculate LCM of 278,153

Given numbers has no common factors except 1. So, there LCM is their product i.e 42534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42534

Therefore, the GCF of Fractions 50/278,369/153 is 1/42534

Least Common Multiple of 278,153 with GCF Formula

Least Common Multiple of 278,153 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 278,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,153) = 1

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

GCF(278,153) x common factors =1 x 1 = 1

LCM(278,153) = ( 278 × 153 ) / 1

LCM(278,153) = 42534 / 1

LCM(278,153) = 42534


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 50/278, 369/153

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 50/278, 369/153?

Answer: GCF of Numerators as per given numbers 50/278, 369/153 is

GCF of Numerators i.e. for 50,369 is 1

LCM of denominators i.e. for 278,153 is 42534.

Thus, GCF of Fractions is 1/42534.Finally, GCF of Fractions for 50/278, 369/153 is 1/42534.