Greatest Common Factor of 290/88, 270/39, 238/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 290/88, 270/39, 238/825

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 290/88,270/39,238/825

Given fractions are 290/88,270/39,238/825

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 290,270,238

Greatest Common Factor of Numerators i.e. GCF of 290,270,238 is 2 .

LCM of Denominators means LCM of 88,39,825 as per the given fractions.

LCM of 88,39,825 is 85800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 290,270,238

GCF of Fractions 290/88,270/39,238/825 is 2/85800

2 290, 270, 238
145, 135, 119

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

Greatest Common Factor of 290,270,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,270,238 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 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 290,270,238 . The biggest common factor number is the GCF number.
So the greatest common factor 290,270,238 is 2.

Lets's calculate LCM of 88,39,825

3 88, 39, 825
11 88, 13, 275
8, 13, 25

∴ So the LCM of the given numbers is 3 x 11 x 8 x 13 x 25 = 85800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/85800

Therefore, the GCF of Fractions 290/88,270/39,238/825 is 2/85800

Least Common Multiple of 88,39,825 with GCF Formula

Least Common Multiple of 88,39,825 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 88,39,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,39,825) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(88,39,825) x common factors =1 x 33 = 33

LCM(88,39,825) = ( 88 × 39 × 825 ) / 33

LCM(88,39,825) = 2831400 / 33

LCM(88,39,825) = 85800


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 290/88, 270/39, 238/825

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 290/88, 270/39, 238/825?

Answer: GCF of Numerators as per given numbers 290/88, 270/39, 238/825 is

GCF of Numerators i.e. for 290,270,238 is 2

LCM of denominators i.e. for 88,39,825 is 85800.

Thus, GCF of Fractions is 2/85800.Finally, GCF of Fractions for 290/88, 270/39, 238/825 is 2/85800.