Greatest Common Factor of 119/405, 3900/5077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 119/405, 3900/5077

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 119/405,3900/5077

Given fractions are 119/405,3900/5077

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 119,3900

Greatest Common Factor of Numerators i.e. GCF of 119,3900 is 1 .

LCM of Denominators means LCM of 405,5077 as per the given fractions.

LCM of 405,5077 is 2056185 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 119,3900

GCF of Fractions 119/405,3900/5077 is 1/2056185

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

Greatest Common Factor of 119,3900 By Matching Biggest Common Factor Method

Greatest Common Factor of 119,3900 By Matching Biggest Common Factor Method

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 3900

List of positive integer factors of 3900 that divides 3900 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,25,26,30,39,50,52,60,65,75,78,100,130,150,156,195,260,300,325,390,650,780,975,1300,1950,3900

Greatest Common Factor

We found the factors 119,3900 . The biggest common factor number is the GCF number.
So the greatest common factor 119,3900 is 1.

Lets's calculate LCM of 405,5077

Given numbers has no common factors except 1. So, there LCM is their product i.e 2056185

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2056185

Therefore, the GCF of Fractions 119/405,3900/5077 is 1/2056185

Least Common Multiple of 405,5077 with GCF Formula

Least Common Multiple of 405,5077 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 405,5077 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,5077) = 1

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

GCF(405,5077) x common factors =1 x 1 = 1

LCM(405,5077) = ( 405 × 5077 ) / 1

LCM(405,5077) = 2056185 / 1

LCM(405,5077) = 2056185


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 119/405, 3900/5077

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 119/405, 3900/5077?

Answer: GCF of Numerators as per given numbers 119/405, 3900/5077 is

GCF of Numerators i.e. for 119,3900 is 1

LCM of denominators i.e. for 405,5077 is 2056185.

Thus, GCF of Fractions is 1/2056185.Finally, GCF of Fractions for 119/405, 3900/5077 is 1/2056185.