Greatest Common Factor of 245/52, 505/443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 245/52, 505/443

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 245/52,505/443

Given fractions are 245/52,505/443

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 245,505

Greatest Common Factor of Numerators i.e. GCF of 245,505 is 5 .

LCM of Denominators means LCM of 52,443 as per the given fractions.

LCM of 52,443 is 23036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 245,505

GCF of Fractions 245/52,505/443 is 5/23036

5 245, 505
49, 101

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

Greatest Common Factor of 245,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,505 By Matching Biggest Common Factor Method

Factors of 245

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

1,5,7,35,49,245

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 245,505 . The biggest common factor number is the GCF number.
So the greatest common factor 245,505 is 5.

Lets's calculate LCM of 52,443

Given numbers has no common factors except 1. So, there LCM is their product i.e 23036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/23036

Therefore, the GCF of Fractions 245/52,505/443 is 5/23036

Least Common Multiple of 52,443 with GCF Formula

Least Common Multiple of 52,443 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 52,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,443) = 1

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

GCF(52,443) x common factors =1 x 1 = 1

LCM(52,443) = ( 52 × 443 ) / 1

LCM(52,443) = 23036 / 1

LCM(52,443) = 23036


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 245/52, 505/443

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 245/52, 505/443?

Answer: GCF of Numerators as per given numbers 245/52, 505/443 is

GCF of Numerators i.e. for 245,505 is 5

LCM of denominators i.e. for 52,443 is 23036.

Thus, GCF of Fractions is 5/23036.Finally, GCF of Fractions for 245/52, 505/443 is 5/23036.