Greatest Common Factor of 90/254, 210/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/254, 210/913

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 90/254,210/913

Given fractions are 90/254,210/913

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 90,210

Greatest Common Factor of Numerators i.e. GCF of 90,210 is 30 .

LCM of Denominators means LCM of 254,913 as per the given fractions.

LCM of 254,913 is 231902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,210

GCF of Fractions 90/254,210/913 is 30/231902

2 90, 210
3 45, 105
5 15, 35
3, 7

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Greatest Common Factor of 90,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,210 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 90,210 . The biggest common factor number is the GCF number.
So the greatest common factor 90,210 is 30.

Lets's calculate LCM of 254,913

Given numbers has no common factors except 1. So, there LCM is their product i.e 231902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/231902

Therefore, the GCF of Fractions 90/254,210/913 is 30/231902

Least Common Multiple of 254,913 with GCF Formula

Least Common Multiple of 254,913 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 254,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,913) = 1

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

GCF(254,913) x common factors =1 x 1 = 1

LCM(254,913) = ( 254 × 913 ) / 1

LCM(254,913) = 231902 / 1

LCM(254,913) = 231902


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 90/254, 210/913

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 90/254, 210/913?

Answer: GCF of Numerators as per given numbers 90/254, 210/913 is

GCF of Numerators i.e. for 90,210 is 30

LCM of denominators i.e. for 254,913 is 231902.

Thus, GCF of Fractions is 30/231902.Finally, GCF of Fractions for 90/254, 210/913 is 30/231902.