Greatest Common Factor of 45/900, 2295/1156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 45/900, 2295/1156

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 45/900,2295/1156

Given fractions are 45/900,2295/1156

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 45,2295

Greatest Common Factor of Numerators i.e. GCF of 45,2295 is 45 .

LCM of Denominators means LCM of 900,1156 as per the given fractions.

LCM of 900,1156 is 260100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 45,2295

GCF of Fractions 45/900,2295/1156 is 45/260100

3 45, 2295
3 15, 765
5 5, 255
1, 51

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

Greatest Common Factor of 45,2295 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,2295 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 2295

List of positive integer factors of 2295 that divides 2295 without a remainder.

1,3,5,9,15,17,27,45,51,85,135,153,255,459,765,2295

Greatest Common Factor

We found the factors 45,2295 . The biggest common factor number is the GCF number.
So the greatest common factor 45,2295 is 45.

Lets's calculate LCM of 900,1156

2 900, 1156
2 450, 578
225, 289

∴ So the LCM of the given numbers is 2 x 2 x 225 x 289 = 260100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/260100

Therefore, the GCF of Fractions 45/900,2295/1156 is 45/260100

Least Common Multiple of 900,1156 with GCF Formula

Least Common Multiple of 900,1156 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 900,1156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,1156) = 4

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

GCF(900,1156) x common factors =4 x 1 = 4

LCM(900,1156) = ( 900 × 1156 ) / 4

LCM(900,1156) = 1040400 / 4

LCM(900,1156) = 260100


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 45/900, 2295/1156

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 45/900, 2295/1156?

Answer: GCF of Numerators as per given numbers 45/900, 2295/1156 is

GCF of Numerators i.e. for 45,2295 is 45

LCM of denominators i.e. for 900,1156 is 260100.

Thus, GCF of Fractions is 45/260100.Finally, GCF of Fractions for 45/900, 2295/1156 is 45/260100.