Greatest Common Factor of 28/605, 126/369, 848/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/605, 126/369, 848/295

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 28/605,126/369,848/295

Given fractions are 28/605,126/369,848/295

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 28,126,848

Greatest Common Factor of Numerators i.e. GCF of 28,126,848 is 2 .

LCM of Denominators means LCM of 605,369,295 as per the given fractions.

LCM of 605,369,295 is 13171455 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,126,848

GCF of Fractions 28/605,126/369,848/295 is 2/13171455

2 28, 126, 848
14, 63, 424

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

Greatest Common Factor of 28,126,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,126,848 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 28,126,848 . The biggest common factor number is the GCF number.
So the greatest common factor 28,126,848 is 2.

Lets's calculate LCM of 605,369,295

5 605, 369, 295
121, 369, 59

∴ So the LCM of the given numbers is 5 x 121 x 369 x 59 = 13171455

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13171455

Therefore, the GCF of Fractions 28/605,126/369,848/295 is 2/13171455

Least Common Multiple of 605,369,295 with GCF Formula

Least Common Multiple of 605,369,295 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 605,369,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,369,295) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(605,369,295) x common factors =1 x 5 = 5

LCM(605,369,295) = ( 605 × 369 × 295 ) / 5

LCM(605,369,295) = 65857275 / 5

LCM(605,369,295) = 13171455


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 28/605, 126/369, 848/295

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 28/605, 126/369, 848/295?

Answer: GCF of Numerators as per given numbers 28/605, 126/369, 848/295 is

GCF of Numerators i.e. for 28,126,848 is 2

LCM of denominators i.e. for 605,369,295 is 13171455.

Thus, GCF of Fractions is 2/13171455.Finally, GCF of Fractions for 28/605, 126/369, 848/295 is 2/13171455.