Greatest Common Factor of 53/252, 233/650, 227/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 53/252, 233/650, 227/633

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 53/252,233/650,227/633

Given fractions are 53/252,233/650,227/633

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 53,233,227

Greatest Common Factor of Numerators i.e. GCF of 53,233,227 is 1 .

LCM of Denominators means LCM of 252,650,633 as per the given fractions.

LCM of 252,650,633 is 17280900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,233,227

GCF of Fractions 53/252,233/650,227/633 is 1/17280900

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

Greatest Common Factor of 53,233,227 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,233,227 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Greatest Common Factor

We found the factors 53,233,227 . The biggest common factor number is the GCF number.
So the greatest common factor 53,233,227 is 1.

Lets's calculate LCM of 252,650,633

2 252, 650, 633
3 126, 325, 633
42, 325, 211

∴ So the LCM of the given numbers is 2 x 3 x 42 x 325 x 211 = 17280900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17280900

Therefore, the GCF of Fractions 53/252,233/650,227/633 is 1/17280900

Least Common Multiple of 252,650,633 with GCF Formula

Least Common Multiple of 252,650,633 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 252,650,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,650,633) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(252,650,633) x common factors =1 x 6 = 6

LCM(252,650,633) = ( 252 × 650 × 633 ) / 6

LCM(252,650,633) = 103685400 / 6

LCM(252,650,633) = 17280900


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 53/252, 233/650, 227/633

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 53/252, 233/650, 227/633?

Answer: GCF of Numerators as per given numbers 53/252, 233/650, 227/633 is

GCF of Numerators i.e. for 53,233,227 is 1

LCM of denominators i.e. for 252,650,633 is 17280900.

Thus, GCF of Fractions is 1/17280900.Finally, GCF of Fractions for 53/252, 233/650, 227/633 is 1/17280900.