Greatest Common Factor of 2445/44, 9380/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2445/44, 9380/570

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 2445/44,9380/570

Given fractions are 2445/44,9380/570

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 2445,9380

Greatest Common Factor of Numerators i.e. GCF of 2445,9380 is 5 .

LCM of Denominators means LCM of 44,570 as per the given fractions.

LCM of 44,570 is 12540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2445,9380

GCF of Fractions 2445/44,9380/570 is 5/12540

5 2445, 9380
489, 1876

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2445,9380 By Matching Biggest Common Factor Method

Greatest Common Factor of 2445,9380 By Matching Biggest Common Factor Method

Factors of 2445

List of positive integer factors of 2445 that divides 2445 without a remainder.

1,3,5,15,163,489,815,2445

Factors of 9380

List of positive integer factors of 9380 that divides 9380 without a remainder.

1,2,4,5,7,10,14,20,28,35,67,70,134,140,268,335,469,670,938,1340,1876,2345,4690,9380

Greatest Common Factor

We found the factors 2445,9380 . The biggest common factor number is the GCF number.
So the greatest common factor 2445,9380 is 5.

Lets's calculate LCM of 44,570

2 44, 570
22, 285

∴ So the LCM of the given numbers is 2 x 22 x 285 = 12540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/12540

Therefore, the GCF of Fractions 2445/44,9380/570 is 5/12540

Least Common Multiple of 44,570 with GCF Formula

Least Common Multiple of 44,570 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 44,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,570) = 2

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

GCF(44,570) x common factors =2 x 1 = 2

LCM(44,570) = ( 44 × 570 ) / 2

LCM(44,570) = 25080 / 2

LCM(44,570) = 12540


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 2445/44, 9380/570

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 2445/44, 9380/570?

Answer: GCF of Numerators as per given numbers 2445/44, 9380/570 is

GCF of Numerators i.e. for 2445,9380 is 5

LCM of denominators i.e. for 44,570 is 12540.

Thus, GCF of Fractions is 5/12540.Finally, GCF of Fractions for 2445/44, 9380/570 is 5/12540.