Greatest Common Factor of 210/31, 529/27, 757/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 210/31, 529/27, 757/232

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 210/31,529/27,757/232

Given fractions are 210/31,529/27,757/232

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 210,529,757

Greatest Common Factor of Numerators i.e. GCF of 210,529,757 is 1 .

LCM of Denominators means LCM of 31,27,232 as per the given fractions.

LCM of 31,27,232 is 194184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 210,529,757

GCF of Fractions 210/31,529/27,757/232 is 1/194184

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 210,529,757 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,529,757 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 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Greatest Common Factor

We found the factors 210,529,757 . The biggest common factor number is the GCF number.
So the greatest common factor 210,529,757 is 1.

Lets's calculate LCM of 31,27,232

Given numbers has no common factors except 1. So, there LCM is their product i.e 194184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194184

Therefore, the GCF of Fractions 210/31,529/27,757/232 is 1/194184

Least Common Multiple of 31,27,232 with GCF Formula

Least Common Multiple of 31,27,232 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 31,27,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,27,232) = 1

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

GCF(31,27,232) x common factors =1 x 1 = 1

LCM(31,27,232) = ( 31 × 27 × 232 ) / 1

LCM(31,27,232) = 194184 / 1

LCM(31,27,232) = 194184


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 210/31, 529/27, 757/232

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 210/31, 529/27, 757/232?

Answer: GCF of Numerators as per given numbers 210/31, 529/27, 757/232 is

GCF of Numerators i.e. for 210,529,757 is 1

LCM of denominators i.e. for 31,27,232 is 194184.

Thus, GCF of Fractions is 1/194184.Finally, GCF of Fractions for 210/31, 529/27, 757/232 is 1/194184.