Greatest Common Factor of 3939/967, 1068/1940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3939/967, 1068/1940

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 3939/967,1068/1940

Given fractions are 3939/967,1068/1940

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 3939,1068

Greatest Common Factor of Numerators i.e. GCF of 3939,1068 is 3 .

LCM of Denominators means LCM of 967,1940 as per the given fractions.

LCM of 967,1940 is 1875980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3939,1068

GCF of Fractions 3939/967,1068/1940 is 3/1875980

3 3939, 1068
1313, 356

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3939,1068 By Matching Biggest Common Factor Method

Greatest Common Factor of 3939,1068 By Matching Biggest Common Factor Method

Factors of 3939

List of positive integer factors of 3939 that divides 3939 without a remainder.

1,3,13,39,101,303,1313,3939

Factors of 1068

List of positive integer factors of 1068 that divides 1068 without a remainder.

1,2,3,4,6,12,89,178,267,356,534,1068

Greatest Common Factor

We found the factors 3939,1068 . The biggest common factor number is the GCF number.
So the greatest common factor 3939,1068 is 3.

Lets's calculate LCM of 967,1940

Given numbers has no common factors except 1. So, there LCM is their product i.e 1875980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1875980

Therefore, the GCF of Fractions 3939/967,1068/1940 is 3/1875980

Least Common Multiple of 967,1940 with GCF Formula

Least Common Multiple of 967,1940 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 967,1940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,1940) = 1

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

GCF(967,1940) x common factors =1 x 1 = 1

LCM(967,1940) = ( 967 × 1940 ) / 1

LCM(967,1940) = 1875980 / 1

LCM(967,1940) = 1875980


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 3939/967, 1068/1940

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 3939/967, 1068/1940?

Answer: GCF of Numerators as per given numbers 3939/967, 1068/1940 is

GCF of Numerators i.e. for 3939,1068 is 3

LCM of denominators i.e. for 967,1940 is 1875980.

Thus, GCF of Fractions is 3/1875980.Finally, GCF of Fractions for 3939/967, 1068/1940 is 3/1875980.