Greatest Common Factor of 133/205, 5208/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 133/205, 5208/249

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 133/205,5208/249

Given fractions are 133/205,5208/249

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 133,5208

Greatest Common Factor of Numerators i.e. GCF of 133,5208 is 7 .

LCM of Denominators means LCM of 205,249 as per the given fractions.

LCM of 205,249 is 51045 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 133,5208

GCF of Fractions 133/205,5208/249 is 7/51045

7 133, 5208
19, 744

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 133,5208 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,5208 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 5208

List of positive integer factors of 5208 that divides 5208 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,31,42,56,62,84,93,124,168,186,217,248,372,434,651,744,868,1302,1736,2604,5208

Greatest Common Factor

We found the factors 133,5208 . The biggest common factor number is the GCF number.
So the greatest common factor 133,5208 is 7.

Lets's calculate LCM of 205,249

Given numbers has no common factors except 1. So, there LCM is their product i.e 51045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/51045

Therefore, the GCF of Fractions 133/205,5208/249 is 7/51045

Least Common Multiple of 205,249 with GCF Formula

Least Common Multiple of 205,249 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 205,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,249) = 1

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

GCF(205,249) x common factors =1 x 1 = 1

LCM(205,249) = ( 205 × 249 ) / 1

LCM(205,249) = 51045 / 1

LCM(205,249) = 51045


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 133/205, 5208/249

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 133/205, 5208/249?

Answer: GCF of Numerators as per given numbers 133/205, 5208/249 is

GCF of Numerators i.e. for 133,5208 is 7

LCM of denominators i.e. for 205,249 is 51045.

Thus, GCF of Fractions is 7/51045.Finally, GCF of Fractions for 133/205, 5208/249 is 7/51045.