Greatest Common Factor of 208/367, 3072/2897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 208/367, 3072/2897

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 208/367,3072/2897

Given fractions are 208/367,3072/2897

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 208,3072

Greatest Common Factor of Numerators i.e. GCF of 208,3072 is 16 .

LCM of Denominators means LCM of 367,2897 as per the given fractions.

LCM of 367,2897 is 1063199 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 208,3072

GCF of Fractions 208/367,3072/2897 is 16/1063199

2 208, 3072
2 104, 1536
2 52, 768
2 26, 384
13, 192

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 208,3072 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,3072 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 3072

List of positive integer factors of 3072 that divides 3072 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1024,1536,3072

Greatest Common Factor

We found the factors 208,3072 . The biggest common factor number is the GCF number.
So the greatest common factor 208,3072 is 16.

Lets's calculate LCM of 367,2897

Given numbers has no common factors except 1. So, there LCM is their product i.e 1063199

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1063199

Therefore, the GCF of Fractions 208/367,3072/2897 is 16/1063199

Least Common Multiple of 367,2897 with GCF Formula

Least Common Multiple of 367,2897 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 367,2897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,2897) = 1

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

GCF(367,2897) x common factors =1 x 1 = 1

LCM(367,2897) = ( 367 × 2897 ) / 1

LCM(367,2897) = 1063199 / 1

LCM(367,2897) = 1063199


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 208/367, 3072/2897

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 208/367, 3072/2897?

Answer: GCF of Numerators as per given numbers 208/367, 3072/2897 is

GCF of Numerators i.e. for 208,3072 is 16

LCM of denominators i.e. for 367,2897 is 1063199.

Thus, GCF of Fractions is 16/1063199.Finally, GCF of Fractions for 208/367, 3072/2897 is 16/1063199.