Greatest Common Factor of 364/16, 208/9801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 364/16, 208/9801

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 364/16,208/9801

Given fractions are 364/16,208/9801

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 364,208

Greatest Common Factor of Numerators i.e. GCF of 364,208 is 52 .

LCM of Denominators means LCM of 16,9801 as per the given fractions.

LCM of 16,9801 is 156816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 364,208

GCF of Fractions 364/16,208/9801 is 52/156816

2 364, 208
2 182, 104
13 91, 52
7, 4

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Greatest Common Factor of 364,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,208 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

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 364,208 . The biggest common factor number is the GCF number.
So the greatest common factor 364,208 is 52.

Lets's calculate LCM of 16,9801

Given numbers has no common factors except 1. So, there LCM is their product i.e 156816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/156816

Therefore, the GCF of Fractions 364/16,208/9801 is 52/156816

Least Common Multiple of 16,9801 with GCF Formula

Least Common Multiple of 16,9801 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 16,9801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,9801) = 1

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

GCF(16,9801) x common factors =1 x 1 = 1

LCM(16,9801) = ( 16 × 9801 ) / 1

LCM(16,9801) = 156816 / 1

LCM(16,9801) = 156816


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 364/16, 208/9801

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 364/16, 208/9801?

Answer: GCF of Numerators as per given numbers 364/16, 208/9801 is

GCF of Numerators i.e. for 364,208 is 52

LCM of denominators i.e. for 16,9801 is 156816.

Thus, GCF of Fractions is 52/156816.Finally, GCF of Fractions for 364/16, 208/9801 is 52/156816.