Greatest Common Factor of 236/558, 728/894, 208/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 236/558, 728/894, 208/104

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 236/558,728/894,208/104

Given fractions are 236/558,728/894,208/104

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 236,728,208

Greatest Common Factor of Numerators i.e. GCF of 236,728,208 is 4 .

LCM of Denominators means LCM of 558,894,104 as per the given fractions.

LCM of 558,894,104 is 4323384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 236,728,208

GCF of Fractions 236/558,728/894,208/104 is 4/4323384

2 236, 728, 208
2 118, 364, 104
59, 182, 52

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 236,728,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,728,208 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 236,728,208 . The biggest common factor number is the GCF number.
So the greatest common factor 236,728,208 is 4.

Lets's calculate LCM of 558,894,104

2 558, 894, 104
3 279, 447, 52
93, 149, 52

∴ So the LCM of the given numbers is 2 x 3 x 93 x 149 x 52 = 4323384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4323384

Therefore, the GCF of Fractions 236/558,728/894,208/104 is 4/4323384

Least Common Multiple of 558,894,104 with GCF Formula

Least Common Multiple of 558,894,104 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 558,894,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,894,104) = 2

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

GCF(558,894,104) x common factors =2 x 6 = 12

LCM(558,894,104) = ( 558 × 894 × 104 ) / 12

LCM(558,894,104) = 51880608 / 12

LCM(558,894,104) = 4323384


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 236/558, 728/894, 208/104

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 236/558, 728/894, 208/104?

Answer: GCF of Numerators as per given numbers 236/558, 728/894, 208/104 is

GCF of Numerators i.e. for 236,728,208 is 4

LCM of denominators i.e. for 558,894,104 is 4323384.

Thus, GCF of Fractions is 4/4323384.Finally, GCF of Fractions for 236/558, 728/894, 208/104 is 4/4323384.