Greatest Common Factor of 202/16, 208/4669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 202/16, 208/4669

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 202/16,208/4669

Given fractions are 202/16,208/4669

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 202,208

Greatest Common Factor of Numerators i.e. GCF of 202,208 is 2 .

LCM of Denominators means LCM of 16,4669 as per the given fractions.

LCM of 16,4669 is 74704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 202,208

GCF of Fractions 202/16,208/4669 is 2/74704

2 202, 208
101, 104

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

Greatest Common Factor of 202,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,208 By Matching Biggest Common Factor Method

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

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

Greatest Common Factor

We found the factors 202,208 . The biggest common factor number is the GCF number.
So the greatest common factor 202,208 is 2.

Lets's calculate LCM of 16,4669

Given numbers has no common factors except 1. So, there LCM is their product i.e 74704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/74704

Therefore, the GCF of Fractions 202/16,208/4669 is 2/74704

Least Common Multiple of 16,4669 with GCF Formula

Least Common Multiple of 16,4669 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 16,4669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,4669) = 1

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

GCF(16,4669) x common factors =1 x 1 = 1

LCM(16,4669) = ( 16 × 4669 ) / 1

LCM(16,4669) = 74704 / 1

LCM(16,4669) = 74704


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 202/16, 208/4669

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 202/16, 208/4669?

Answer: GCF of Numerators as per given numbers 202/16, 208/4669 is

GCF of Numerators i.e. for 202,208 is 2

LCM of denominators i.e. for 16,4669 is 74704.

Thus, GCF of Fractions is 2/74704.Finally, GCF of Fractions for 202/16, 208/4669 is 2/74704.