Greatest Common Factor of 210/10, 7274/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 210/10, 7274/223

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 210/10,7274/223

Given fractions are 210/10,7274/223

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 210,7274

Greatest Common Factor of Numerators i.e. GCF of 210,7274 is 2 .

LCM of Denominators means LCM of 10,223 as per the given fractions.

LCM of 10,223 is 2230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 210,7274

GCF of Fractions 210/10,7274/223 is 2/2230

2 210, 7274
105, 3637

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

Greatest Common Factor of 210,7274 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,7274 By Matching Biggest Common Factor Method

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

Factors of 7274

List of positive integer factors of 7274 that divides 7274 without a remainder.

1,2,3637,7274

Greatest Common Factor

We found the factors 210,7274 . The biggest common factor number is the GCF number.
So the greatest common factor 210,7274 is 2.

Lets's calculate LCM of 10,223

Given numbers has no common factors except 1. So, there LCM is their product i.e 2230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2230

Therefore, the GCF of Fractions 210/10,7274/223 is 2/2230

Least Common Multiple of 10,223 with GCF Formula

Least Common Multiple of 10,223 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 10,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,223) = 1

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

GCF(10,223) x common factors =1 x 1 = 1

LCM(10,223) = ( 10 × 223 ) / 1

LCM(10,223) = 2230 / 1

LCM(10,223) = 2230


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 210/10, 7274/223

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 210/10, 7274/223?

Answer: GCF of Numerators as per given numbers 210/10, 7274/223 is

GCF of Numerators i.e. for 210,7274 is 2

LCM of denominators i.e. for 10,223 is 2230.

Thus, GCF of Fractions is 2/2230.Finally, GCF of Fractions for 210/10, 7274/223 is 2/2230.