Greatest Common Factor of 119/280, 3913/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 119/280, 3913/689

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 119/280,3913/689

Given fractions are 119/280,3913/689

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 119,3913

Greatest Common Factor of Numerators i.e. GCF of 119,3913 is 7 .

LCM of Denominators means LCM of 280,689 as per the given fractions.

LCM of 280,689 is 192920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 119,3913

GCF of Fractions 119/280,3913/689 is 7/192920

7 119, 3913
17, 559

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 119,3913 By Matching Biggest Common Factor Method

Greatest Common Factor of 119,3913 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 3913

List of positive integer factors of 3913 that divides 3913 without a remainder.

1,7,13,43,91,301,559,3913

Greatest Common Factor

We found the factors 119,3913 . The biggest common factor number is the GCF number.
So the greatest common factor 119,3913 is 7.

Lets's calculate LCM of 280,689

Given numbers has no common factors except 1. So, there LCM is their product i.e 192920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/192920

Therefore, the GCF of Fractions 119/280,3913/689 is 7/192920

Least Common Multiple of 280,689 with GCF Formula

Least Common Multiple of 280,689 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 280,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,689) = 1

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

GCF(280,689) x common factors =1 x 1 = 1

LCM(280,689) = ( 280 × 689 ) / 1

LCM(280,689) = 192920 / 1

LCM(280,689) = 192920


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 119/280, 3913/689

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 119/280, 3913/689?

Answer: GCF of Numerators as per given numbers 119/280, 3913/689 is

GCF of Numerators i.e. for 119,3913 is 7

LCM of denominators i.e. for 280,689 is 192920.

Thus, GCF of Fractions is 7/192920.Finally, GCF of Fractions for 119/280, 3913/689 is 7/192920.