Greatest Common Factor of 3916/19, 7942/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3916/19, 7942/160

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 3916/19,7942/160

Given fractions are 3916/19,7942/160

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 3916,7942

Greatest Common Factor of Numerators i.e. GCF of 3916,7942 is 22 .

LCM of Denominators means LCM of 19,160 as per the given fractions.

LCM of 19,160 is 3040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3916,7942

GCF of Fractions 3916/19,7942/160 is 22/3040

2 3916, 7942
11 1958, 3971
178, 361

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 3916,7942 By Matching Biggest Common Factor Method

Greatest Common Factor of 3916,7942 By Matching Biggest Common Factor Method

Factors of 3916

List of positive integer factors of 3916 that divides 3916 without a remainder.

1,2,4,11,22,44,89,178,356,979,1958,3916

Factors of 7942

List of positive integer factors of 7942 that divides 7942 without a remainder.

1,2,11,19,22,38,209,361,418,722,3971,7942

Greatest Common Factor

We found the factors 3916,7942 . The biggest common factor number is the GCF number.
So the greatest common factor 3916,7942 is 22.

Lets's calculate LCM of 19,160

Given numbers has no common factors except 1. So, there LCM is their product i.e 3040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/3040

Therefore, the GCF of Fractions 3916/19,7942/160 is 22/3040

Least Common Multiple of 19,160 with GCF Formula

Least Common Multiple of 19,160 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 19,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,160) = 1

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

GCF(19,160) x common factors =1 x 1 = 1

LCM(19,160) = ( 19 × 160 ) / 1

LCM(19,160) = 3040 / 1

LCM(19,160) = 3040


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 3916/19, 7942/160

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 3916/19, 7942/160?

Answer: GCF of Numerators as per given numbers 3916/19, 7942/160 is

GCF of Numerators i.e. for 3916,7942 is 22

LCM of denominators i.e. for 19,160 is 3040.

Thus, GCF of Fractions is 22/3040.Finally, GCF of Fractions for 3916/19, 7942/160 is 22/3040.