Greatest Common Factor of 225/53, 245/3684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 225/53, 245/3684

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 225/53,245/3684

Given fractions are 225/53,245/3684

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 225,245

Greatest Common Factor of Numerators i.e. GCF of 225,245 is 5 .

LCM of Denominators means LCM of 53,3684 as per the given fractions.

LCM of 53,3684 is 195252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 225,245

GCF of Fractions 225/53,245/3684 is 5/195252

5 225, 245
45, 49

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 225,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,245 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 225,245 . The biggest common factor number is the GCF number.
So the greatest common factor 225,245 is 5.

Lets's calculate LCM of 53,3684

Given numbers has no common factors except 1. So, there LCM is their product i.e 195252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/195252

Therefore, the GCF of Fractions 225/53,245/3684 is 5/195252

Least Common Multiple of 53,3684 with GCF Formula

Least Common Multiple of 53,3684 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 53,3684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,3684) = 1

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

GCF(53,3684) x common factors =1 x 1 = 1

LCM(53,3684) = ( 53 × 3684 ) / 1

LCM(53,3684) = 195252 / 1

LCM(53,3684) = 195252


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 225/53, 245/3684

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 225/53, 245/3684?

Answer: GCF of Numerators as per given numbers 225/53, 245/3684 is

GCF of Numerators i.e. for 225,245 is 5

LCM of denominators i.e. for 53,3684 is 195252.

Thus, GCF of Fractions is 5/195252.Finally, GCF of Fractions for 225/53, 245/3684 is 5/195252.