Greatest Common Factor of 3391/473, 7824/4188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3391/473, 7824/4188

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 3391/473,7824/4188

Given fractions are 3391/473,7824/4188

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 3391,7824

Greatest Common Factor of Numerators i.e. GCF of 3391,7824 is 1 .

LCM of Denominators means LCM of 473,4188 as per the given fractions.

LCM of 473,4188 is 1980924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3391,7824

GCF of Fractions 3391/473,7824/4188 is 1/1980924

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

Greatest Common Factor of 3391,7824 By Matching Biggest Common Factor Method

Greatest Common Factor of 3391,7824 By Matching Biggest Common Factor Method

Factors of 3391

List of positive integer factors of 3391 that divides 3391 without a remainder.

1,3391

Factors of 7824

List of positive integer factors of 7824 that divides 7824 without a remainder.

1,2,3,4,6,8,12,16,24,48,163,326,489,652,978,1304,1956,2608,3912,7824

Greatest Common Factor

We found the factors 3391,7824 . The biggest common factor number is the GCF number.
So the greatest common factor 3391,7824 is 1.

Lets's calculate LCM of 473,4188

Given numbers has no common factors except 1. So, there LCM is their product i.e 1980924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1980924

Therefore, the GCF of Fractions 3391/473,7824/4188 is 1/1980924

Least Common Multiple of 473,4188 with GCF Formula

Least Common Multiple of 473,4188 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 473,4188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,4188) = 1

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

GCF(473,4188) x common factors =1 x 1 = 1

LCM(473,4188) = ( 473 × 4188 ) / 1

LCM(473,4188) = 1980924 / 1

LCM(473,4188) = 1980924


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 3391/473, 7824/4188

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 3391/473, 7824/4188?

Answer: GCF of Numerators as per given numbers 3391/473, 7824/4188 is

GCF of Numerators i.e. for 3391,7824 is 1

LCM of denominators i.e. for 473,4188 is 1980924.

Thus, GCF of Fractions is 1/1980924.Finally, GCF of Fractions for 3391/473, 7824/4188 is 1/1980924.