Greatest Common Factor of 3284/29, 7976/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3284/29, 7976/704

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 3284/29,7976/704

Given fractions are 3284/29,7976/704

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 3284,7976

Greatest Common Factor of Numerators i.e. GCF of 3284,7976 is 4 .

LCM of Denominators means LCM of 29,704 as per the given fractions.

LCM of 29,704 is 20416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3284,7976

GCF of Fractions 3284/29,7976/704 is 4/20416

2 3284, 7976
2 1642, 3988
821, 1994

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3284,7976 By Matching Biggest Common Factor Method

Greatest Common Factor of 3284,7976 By Matching Biggest Common Factor Method

Factors of 3284

List of positive integer factors of 3284 that divides 3284 without a remainder.

1,2,4,821,1642,3284

Factors of 7976

List of positive integer factors of 7976 that divides 7976 without a remainder.

1,2,4,8,997,1994,3988,7976

Greatest Common Factor

We found the factors 3284,7976 . The biggest common factor number is the GCF number.
So the greatest common factor 3284,7976 is 4.

Lets's calculate LCM of 29,704

Given numbers has no common factors except 1. So, there LCM is their product i.e 20416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/20416

Therefore, the GCF of Fractions 3284/29,7976/704 is 4/20416

Least Common Multiple of 29,704 with GCF Formula

Least Common Multiple of 29,704 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 29,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,704) = 1

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

GCF(29,704) x common factors =1 x 1 = 1

LCM(29,704) = ( 29 × 704 ) / 1

LCM(29,704) = 20416 / 1

LCM(29,704) = 20416


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 3284/29, 7976/704

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 3284/29, 7976/704?

Answer: GCF of Numerators as per given numbers 3284/29, 7976/704 is

GCF of Numerators i.e. for 3284,7976 is 4

LCM of denominators i.e. for 29,704 is 20416.

Thus, GCF of Fractions is 4/20416.Finally, GCF of Fractions for 3284/29, 7976/704 is 4/20416.