Greatest Common Factor of 208/348, 806/928, 654/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 208/348, 806/928, 654/146

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 208/348,806/928,654/146

Given fractions are 208/348,806/928,654/146

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 208,806,654

Greatest Common Factor of Numerators i.e. GCF of 208,806,654 is 2 .

LCM of Denominators means LCM of 348,928,146 as per the given fractions.

LCM of 348,928,146 is 203232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 208,806,654

GCF of Fractions 208/348,806/928,654/146 is 2/203232

2 208, 806, 654
104, 403, 327

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

Greatest Common Factor of 208,806,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,806,654 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 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 208,806,654 . The biggest common factor number is the GCF number.
So the greatest common factor 208,806,654 is 2.

Lets's calculate LCM of 348,928,146

2 348, 928, 146
2 174, 464, 73
29 87, 232, 73
3, 8, 73

∴ So the LCM of the given numbers is 2 x 2 x 29 x 3 x 8 x 73 = 203232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/203232

Therefore, the GCF of Fractions 208/348,806/928,654/146 is 2/203232

Least Common Multiple of 348,928,146 with GCF Formula

Least Common Multiple of 348,928,146 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 348,928,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,928,146) = 2

common factors(in case of two or more numbers have common factors) = 116

GCF(348,928,146) x common factors =2 x 116 = 232

LCM(348,928,146) = ( 348 × 928 × 146 ) / 232

LCM(348,928,146) = 47149824 / 232

LCM(348,928,146) = 203232


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 208/348, 806/928, 654/146

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 208/348, 806/928, 654/146?

Answer: GCF of Numerators as per given numbers 208/348, 806/928, 654/146 is

GCF of Numerators i.e. for 208,806,654 is 2

LCM of denominators i.e. for 348,928,146 is 203232.

Thus, GCF of Fractions is 2/203232.Finally, GCF of Fractions for 208/348, 806/928, 654/146 is 2/203232.