Greatest Common Factor of 208/69, 364/74, 481/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 208/69, 364/74, 481/941

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 208/69,364/74,481/941

Given fractions are 208/69,364/74,481/941

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 208,364,481

Greatest Common Factor of Numerators i.e. GCF of 208,364,481 is 13 .

LCM of Denominators means LCM of 69,74,941 as per the given fractions.

LCM of 69,74,941 is 4804746 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 208,364,481

GCF of Fractions 208/69,364/74,481/941 is 13/4804746

13 208, 364, 481
16, 28, 37

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 208,364,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,364,481 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 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 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Greatest Common Factor

We found the factors 208,364,481 . The biggest common factor number is the GCF number.
So the greatest common factor 208,364,481 is 13.

Lets's calculate LCM of 69,74,941

Given numbers has no common factors except 1. So, there LCM is their product i.e 4804746

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4804746

Therefore, the GCF of Fractions 208/69,364/74,481/941 is 13/4804746

Least Common Multiple of 69,74,941 with GCF Formula

Least Common Multiple of 69,74,941 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 69,74,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,74,941) = 1

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

GCF(69,74,941) x common factors =1 x 1 = 1

LCM(69,74,941) = ( 69 × 74 × 941 ) / 1

LCM(69,74,941) = 4804746 / 1

LCM(69,74,941) = 4804746


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 208/69, 364/74, 481/941

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 208/69, 364/74, 481/941?

Answer: GCF of Numerators as per given numbers 208/69, 364/74, 481/941 is

GCF of Numerators i.e. for 208,364,481 is 13

LCM of denominators i.e. for 69,74,941 is 4804746.

Thus, GCF of Fractions is 13/4804746.Finally, GCF of Fractions for 208/69, 364/74, 481/941 is 13/4804746.