Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 443/83,152/29,145/12
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 443,152,145
Greatest Common Factor of Numerators i.e. GCF of 443,152,145 is 1 .
LCM of Denominators means LCM of 83,29,12 as per the given fractions.
LCM of 83,29,12 is 28884 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 443,152,145
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Greatest Common Factor
We found the factors 443,152,145 . The biggest common factor number is the GCF number.
So the greatest common factor 443,152,145 is 1.
Lets's calculate LCM of 83,29,12
Given numbers has no common factors except 1. So, there LCM is their product i.e 28884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28884
Therefore, the GCF of Fractions 443/83,152/29,145/12 is 1/28884
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 83,29,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,29,12) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,29,12) x common factors =1 x 1 = 1
LCM(83,29,12) = ( 83 × 29 × 12 ) / 1
LCM(83,29,12) = 28884 / 1
LCM(83,29,12) = 28884
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 443/83, 152/29, 145/12?
Answer: GCF of Numerators as per given numbers 443/83, 152/29, 145/12 is
GCF of Numerators i.e. for 443,152,145 is 1
LCM of denominators i.e. for 83,29,12 is 28884.
Thus, GCF of Fractions is 1/28884.Finally, GCF of Fractions for 443/83, 152/29, 145/12 is 1/28884.