Greatest Common Factor of 44/979, 320/240, 900/467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/979, 320/240, 900/467

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 44/979,320/240,900/467

Given fractions are 44/979,320/240,900/467

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 44,320,900

Greatest Common Factor of Numerators i.e. GCF of 44,320,900 is 4 .

LCM of Denominators means LCM of 979,240,467 as per the given fractions.

LCM of 979,240,467 is 109726320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,320,900

GCF of Fractions 44/979,320/240,900/467 is 4/109726320

2 44, 320, 900
2 22, 160, 450
11, 80, 225

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 44,320,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,320,900 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 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 44,320,900 . The biggest common factor number is the GCF number.
So the greatest common factor 44,320,900 is 4.

Lets's calculate LCM of 979,240,467

Given numbers has no common factors except 1. So, there LCM is their product i.e 109726320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/109726320

Therefore, the GCF of Fractions 44/979,320/240,900/467 is 4/109726320

Least Common Multiple of 979,240,467 with GCF Formula

Least Common Multiple of 979,240,467 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 979,240,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,240,467) = 1

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

GCF(979,240,467) x common factors =1 x 1 = 1

LCM(979,240,467) = ( 979 × 240 × 467 ) / 1

LCM(979,240,467) = 109726320 / 1

LCM(979,240,467) = 109726320


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 44/979, 320/240, 900/467

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 44/979, 320/240, 900/467?

Answer: GCF of Numerators as per given numbers 44/979, 320/240, 900/467 is

GCF of Numerators i.e. for 44,320,900 is 4

LCM of denominators i.e. for 979,240,467 is 109726320.

Thus, GCF of Fractions is 4/109726320.Finally, GCF of Fractions for 44/979, 320/240, 900/467 is 4/109726320.