Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9165/440,1650/617
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 9165,1650
Greatest Common Factor of Numerators i.e. GCF of 9165,1650 is 15 .
LCM of Denominators means LCM of 440,617 as per the given fractions.
LCM of 440,617 is 271480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9165,1650
3 | 9165, 1650 |
5 | 3055, 550 |
611, 110 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 9165
List of positive integer factors of 9165 that divides 9165 without a remainder.
1,3,5,13,15,39,47,65,141,195,235,611,705,1833,3055,9165
Factors of 1650
List of positive integer factors of 1650 that divides 1650 without a remainder.
1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,150,165,275,330,550,825,1650
Greatest Common Factor
We found the factors 9165,1650 . The biggest common factor number is the GCF number.
So the greatest common factor 9165,1650 is 15.
Lets's calculate LCM of 440,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 271480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/271480
Therefore, the GCF of Fractions 9165/440,1650/617 is 15/271480
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 440,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(440,617) x common factors =1 x 1 = 1
LCM(440,617) = ( 440 × 617 ) / 1
LCM(440,617) = 271480 / 1
LCM(440,617) = 271480
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 9165/440, 1650/617?
Answer: GCF of Numerators as per given numbers 9165/440, 1650/617 is
GCF of Numerators i.e. for 9165,1650 is 15
LCM of denominators i.e. for 440,617 is 271480.
Thus, GCF of Fractions is 15/271480.Finally, GCF of Fractions for 9165/440, 1650/617 is 15/271480.