Greatest Common Factor of 290/180, 4225/2900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 290/180, 4225/2900

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 290/180,4225/2900

Given fractions are 290/180,4225/2900

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 290,4225

Greatest Common Factor of Numerators i.e. GCF of 290,4225 is 5 .

LCM of Denominators means LCM of 180,2900 as per the given fractions.

LCM of 180,2900 is 26100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 290,4225

GCF of Fractions 290/180,4225/2900 is 5/26100

5 290, 4225
58, 845

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

Greatest Common Factor of 290,4225 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,4225 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 4225

List of positive integer factors of 4225 that divides 4225 without a remainder.

1,5,13,25,65,169,325,845,4225

Greatest Common Factor

We found the factors 290,4225 . The biggest common factor number is the GCF number.
So the greatest common factor 290,4225 is 5.

Lets's calculate LCM of 180,2900

2 180, 2900
2 90, 1450
5 45, 725
9, 145

∴ So the LCM of the given numbers is 2 x 2 x 5 x 9 x 145 = 26100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/26100

Therefore, the GCF of Fractions 290/180,4225/2900 is 5/26100

Least Common Multiple of 180,2900 with GCF Formula

Least Common Multiple of 180,2900 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 180,2900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,2900) = 20

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

GCF(180,2900) x common factors =20 x 1 = 20

LCM(180,2900) = ( 180 × 2900 ) / 20

LCM(180,2900) = 522000 / 20

LCM(180,2900) = 26100


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 290/180, 4225/2900

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 290/180, 4225/2900?

Answer: GCF of Numerators as per given numbers 290/180, 4225/2900 is

GCF of Numerators i.e. for 290,4225 is 5

LCM of denominators i.e. for 180,2900 is 26100.

Thus, GCF of Fractions is 5/26100.Finally, GCF of Fractions for 290/180, 4225/2900 is 5/26100.