Greatest Common Factor of 2/72, 44/43, 48/929, 630/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 2/72, 44/43, 48/929, 630/755

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 2/72,44/43,48/929,630/755

Given fractions are 2/72,44/43,48/929,630/755

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 2,44,48,630

Greatest Common Factor of Numerators i.e. GCF of 2,44,48,630 is 2 .

LCM of Denominators means LCM of 72,43,929,755 as per the given fractions.

LCM of 72,43,929,755 is 2171518920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,44,48,630

GCF of Fractions 2/72,44/43,48/929,630/755 is 2/2171518920

2 2, 44, 48, 630
1, 22, 24, 315

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

Greatest Common Factor of 2,44,48,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,44,48,630 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 44

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

1,2,4,11,22,44

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 2,44,48,630 . The biggest common factor number is the GCF number.
So the greatest common factor 2,44,48,630 is 2.


Lets's calculate LCM of 72,43,929,755

Given numbers has no common factors except 1. So, there LCM is their product i.e 2171518920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2171518920

Therefore, the GCF of Fractions 2/72,44/43,48/929,630/755 is 2/2171518920

Least Common Multiple of 72,43,929,755 with GCF Formula

Least Common Multiple of 72,43,929,755 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 72,43,929,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,43,929,755) = 1

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

GCF(72,43,929,755) x common factors =1 x 1 = 1

LCM(72,43,929,755) = ( 72 × 43 × 929 × 755 ) / 1

LCM(72,43,929,755) = 2171518920 / 1

LCM(72,43,929,755) = 2171518920


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 2/72, 44/43, 48/929, 630/755

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 2/72, 44/43, 48/929, 630/755?

Answer: GCF of Numerators as per given numbers 2/72, 44/43, 48/929, 630/755 is

GCF of Numerators i.e. for 2,44,48,630 is 2

LCM of denominators i.e. for 72,43,929,755 is 2171518920.

Thus, GCF of Fractions is 2/2171518920.Finally, GCF of Fractions for 2/72, 44/43, 48/929, 630/755 is 2/2171518920.