Greatest Common Factor of 210/33, 274/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 210/33, 274/975

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 210/33,274/975

Given fractions are 210/33,274/975

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 210,274

Greatest Common Factor of Numerators i.e. GCF of 210,274 is 2 .

LCM of Denominators means LCM of 33,975 as per the given fractions.

LCM of 33,975 is 10725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 210,274

GCF of Fractions 210/33,274/975 is 2/10725

2 210, 274
105, 137

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

Greatest Common Factor of 210,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,274 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 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 210,274 . The biggest common factor number is the GCF number.
So the greatest common factor 210,274 is 2.

Lets's calculate LCM of 33,975

3 33, 975
11, 325

∴ So the LCM of the given numbers is 3 x 11 x 325 = 10725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10725

Therefore, the GCF of Fractions 210/33,274/975 is 2/10725

Least Common Multiple of 33,975 with GCF Formula

Least Common Multiple of 33,975 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 33,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,975) = 3

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

GCF(33,975) x common factors =3 x 1 = 3

LCM(33,975) = ( 33 × 975 ) / 3

LCM(33,975) = 32175 / 3

LCM(33,975) = 10725


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 210/33, 274/975

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 210/33, 274/975?

Answer: GCF of Numerators as per given numbers 210/33, 274/975 is

GCF of Numerators i.e. for 210,274 is 2

LCM of denominators i.e. for 33,975 is 10725.

Thus, GCF of Fractions is 2/10725.Finally, GCF of Fractions for 210/33, 274/975 is 2/10725.