Greatest Common Factor of 4367/208, 7616/3204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4367/208, 7616/3204

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 4367/208,7616/3204

Given fractions are 4367/208,7616/3204

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 4367,7616

Greatest Common Factor of Numerators i.e. GCF of 4367,7616 is 1 .

LCM of Denominators means LCM of 208,3204 as per the given fractions.

LCM of 208,3204 is 166608 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4367,7616

GCF of Fractions 4367/208,7616/3204 is 1/166608

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

Greatest Common Factor of 4367,7616 By Matching Biggest Common Factor Method

Greatest Common Factor of 4367,7616 By Matching Biggest Common Factor Method

Factors of 4367

List of positive integer factors of 4367 that divides 4367 without a remainder.

1,11,397,4367

Factors of 7616

List of positive integer factors of 7616 that divides 7616 without a remainder.

1,2,4,7,8,14,16,17,28,32,34,56,64,68,112,119,136,224,238,272,448,476,544,952,1088,1904,3808,7616

Greatest Common Factor

We found the factors 4367,7616 . The biggest common factor number is the GCF number.
So the greatest common factor 4367,7616 is 1.

Lets's calculate LCM of 208,3204

2 208, 3204
2 104, 1602
52, 801

∴ So the LCM of the given numbers is 2 x 2 x 52 x 801 = 166608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166608

Therefore, the GCF of Fractions 4367/208,7616/3204 is 1/166608

Least Common Multiple of 208,3204 with GCF Formula

Least Common Multiple of 208,3204 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 208,3204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,3204) = 4

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

GCF(208,3204) x common factors =4 x 1 = 4

LCM(208,3204) = ( 208 × 3204 ) / 4

LCM(208,3204) = 666432 / 4

LCM(208,3204) = 166608


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 4367/208, 7616/3204

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 4367/208, 7616/3204?

Answer: GCF of Numerators as per given numbers 4367/208, 7616/3204 is

GCF of Numerators i.e. for 4367,7616 is 1

LCM of denominators i.e. for 208,3204 is 166608.

Thus, GCF of Fractions is 1/166608.Finally, GCF of Fractions for 4367/208, 7616/3204 is 1/166608.