Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 144/233,228/306,200/633
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 144,228,200
Greatest Common Factor of Numerators i.e. GCF of 144,228,200 is 4 .
LCM of Denominators means LCM of 233,306,633 as per the given fractions.
LCM of 233,306,633 is 15043878 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 144,228,200
2 | 144, 228, 200 |
2 | 72, 114, 100 |
36, 57, 50 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 144
List of positive integer factors of 144 that divides 144 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 144,228,200 . The biggest common factor number is the GCF number.
So the greatest common factor 144,228,200 is 4.
Lets's calculate LCM of 233,306,633
3 | 233, 306, 633 |
233, 102, 211 |
∴ So the LCM of the given numbers is 3 x 233 x 102 x 211 = 15043878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/15043878
Therefore, the GCF of Fractions 144/233,228/306,200/633 is 4/15043878
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 233,306,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,306,633) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(233,306,633) x common factors =1 x 3 = 3
LCM(233,306,633) = ( 233 × 306 × 633 ) / 3
LCM(233,306,633) = 45131634 / 3
LCM(233,306,633) = 15043878
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 144/233, 228/306, 200/633?
Answer: GCF of Numerators as per given numbers 144/233, 228/306, 200/633 is
GCF of Numerators i.e. for 144,228,200 is 4
LCM of denominators i.e. for 233,306,633 is 15043878.
Thus, GCF of Fractions is 4/15043878.Finally, GCF of Fractions for 144/233, 228/306, 200/633 is 4/15043878.