Greatest Common Factor of 208/931, 148/356, 390/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 208/931, 148/356, 390/472

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 208/931,148/356,390/472

Given fractions are 208/931,148/356,390/472

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 208,148,390

Greatest Common Factor of Numerators i.e. GCF of 208,148,390 is 2 .

LCM of Denominators means LCM of 931,356,472 as per the given fractions.

LCM of 931,356,472 is 39109448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 208,148,390

GCF of Fractions 208/931,148/356,390/472 is 2/39109448

2 208, 148, 390
104, 74, 195

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

Greatest Common Factor of 208,148,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,148,390 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 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 208,148,390 . The biggest common factor number is the GCF number.
So the greatest common factor 208,148,390 is 2.

Lets's calculate LCM of 931,356,472

2 931, 356, 472
2 931, 178, 236
931, 89, 118

∴ So the LCM of the given numbers is 2 x 2 x 931 x 89 x 118 = 39109448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39109448

Therefore, the GCF of Fractions 208/931,148/356,390/472 is 2/39109448

Least Common Multiple of 931,356,472 with GCF Formula

Least Common Multiple of 931,356,472 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 931,356,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,356,472) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(931,356,472) x common factors =1 x 4 = 4

LCM(931,356,472) = ( 931 × 356 × 472 ) / 4

LCM(931,356,472) = 156437792 / 4

LCM(931,356,472) = 39109448


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 208/931, 148/356, 390/472

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 208/931, 148/356, 390/472?

Answer: GCF of Numerators as per given numbers 208/931, 148/356, 390/472 is

GCF of Numerators i.e. for 208,148,390 is 2

LCM of denominators i.e. for 931,356,472 is 39109448.

Thus, GCF of Fractions is 2/39109448.Finally, GCF of Fractions for 208/931, 148/356, 390/472 is 2/39109448.