Greatest Common Factor of 44/378, 890/768, 296/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/378, 890/768, 296/900

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 44/378,890/768,296/900

Given fractions are 44/378,890/768,296/900

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 44,890,296

Greatest Common Factor of Numerators i.e. GCF of 44,890,296 is 2 .

LCM of Denominators means LCM of 378,768,900 as per the given fractions.

LCM of 378,768,900 is 1209600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,890,296

GCF of Fractions 44/378,890/768,296/900 is 2/1209600

2 44, 890, 296
22, 445, 148

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

Greatest Common Factor of 44,890,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,890,296 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 44,890,296 . The biggest common factor number is the GCF number.
So the greatest common factor 44,890,296 is 2.

Lets's calculate LCM of 378,768,900

2 378, 768, 900
2 189, 384, 450
3 189, 192, 225
3 63, 64, 75
21, 64, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 21 x 64 x 25 = 1209600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1209600

Therefore, the GCF of Fractions 44/378,890/768,296/900 is 2/1209600

Least Common Multiple of 378,768,900 with GCF Formula

Least Common Multiple of 378,768,900 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 378,768,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,768,900) = 6

common factors(in case of two or more numbers have common factors) = 36

GCF(378,768,900) x common factors =6 x 36 = 216

LCM(378,768,900) = ( 378 × 768 × 900 ) / 216

LCM(378,768,900) = 261273600 / 216

LCM(378,768,900) = 1209600


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 44/378, 890/768, 296/900

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 44/378, 890/768, 296/900?

Answer: GCF of Numerators as per given numbers 44/378, 890/768, 296/900 is

GCF of Numerators i.e. for 44,890,296 is 2

LCM of denominators i.e. for 378,768,900 is 1209600.

Thus, GCF of Fractions is 2/1209600.Finally, GCF of Fractions for 44/378, 890/768, 296/900 is 2/1209600.