Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 309/20,795/165
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 309,795
Greatest Common Factor of Numerators i.e. GCF of 309,795 is 3 .
LCM of Denominators means LCM of 20,165 as per the given fractions.
LCM of 20,165 is 660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 309,795
3 | 309, 795 |
103, 265 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Greatest Common Factor
We found the factors 309,795 . The biggest common factor number is the GCF number.
So the greatest common factor 309,795 is 3.
Lets's calculate LCM of 20,165
5 | 20, 165 |
4, 33 |
∴ So the LCM of the given numbers is 5 x 4 x 33 = 660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/660
Therefore, the GCF of Fractions 309/20,795/165 is 3/660
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 20,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,165) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(20,165) x common factors =5 x 1 = 5
LCM(20,165) = ( 20 × 165 ) / 5
LCM(20,165) = 3300 / 5
LCM(20,165) = 660
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 309/20, 795/165?
Answer: GCF of Numerators as per given numbers 309/20, 795/165 is
GCF of Numerators i.e. for 309,795 is 3
LCM of denominators i.e. for 20,165 is 660.
Thus, GCF of Fractions is 3/660.Finally, GCF of Fractions for 309/20, 795/165 is 3/660.