Greatest Common Factor of 253/208, 4235/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 253/208, 4235/994

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 253/208,4235/994

Given fractions are 253/208,4235/994

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 253,4235

Greatest Common Factor of Numerators i.e. GCF of 253,4235 is 11 .

LCM of Denominators means LCM of 208,994 as per the given fractions.

LCM of 208,994 is 103376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 253,4235

GCF of Fractions 253/208,4235/994 is 11/103376

11 253, 4235
23, 385

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 253,4235 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,4235 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 4235

List of positive integer factors of 4235 that divides 4235 without a remainder.

1,5,7,11,35,55,77,121,385,605,847,4235

Greatest Common Factor

We found the factors 253,4235 . The biggest common factor number is the GCF number.
So the greatest common factor 253,4235 is 11.

Lets's calculate LCM of 208,994

2 208, 994
104, 497

∴ So the LCM of the given numbers is 2 x 104 x 497 = 103376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/103376

Therefore, the GCF of Fractions 253/208,4235/994 is 11/103376

Least Common Multiple of 208,994 with GCF Formula

Least Common Multiple of 208,994 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 208,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,994) = 2

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

GCF(208,994) x common factors =2 x 1 = 2

LCM(208,994) = ( 208 × 994 ) / 2

LCM(208,994) = 206752 / 2

LCM(208,994) = 103376


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 253/208, 4235/994

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 253/208, 4235/994?

Answer: GCF of Numerators as per given numbers 253/208, 4235/994 is

GCF of Numerators i.e. for 253,4235 is 11

LCM of denominators i.e. for 208,994 is 103376.

Thus, GCF of Fractions is 11/103376.Finally, GCF of Fractions for 253/208, 4235/994 is 11/103376.