Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 405/968,6360/3982
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 405,6360
Greatest Common Factor of Numerators i.e. GCF of 405,6360 is 15 .
LCM of Denominators means LCM of 968,3982 as per the given fractions.
LCM of 968,3982 is 175208 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 405,6360
3 | 405, 6360 |
5 | 135, 2120 |
27, 424 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1,3,5,9,15,27,45,81,135,405
Factors of 6360
List of positive integer factors of 6360 that divides 6360 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,53,60,106,120,159,212,265,318,424,530,636,795,1060,1272,1590,2120,3180,6360
Greatest Common Factor
We found the factors 405,6360 . The biggest common factor number is the GCF number.
So the greatest common factor 405,6360 is 15.
Lets's calculate LCM of 968,3982
2 | 968, 3982 |
11 | 484, 1991 |
44, 181 |
∴ So the LCM of the given numbers is 2 x 11 x 44 x 181 = 175208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/175208
Therefore, the GCF of Fractions 405/968,6360/3982 is 15/175208
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 968,3982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,3982) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(968,3982) x common factors =22 x 1 = 22
LCM(968,3982) = ( 968 × 3982 ) / 22
LCM(968,3982) = 3854576 / 22
LCM(968,3982) = 175208
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 405/968, 6360/3982?
Answer: GCF of Numerators as per given numbers 405/968, 6360/3982 is
GCF of Numerators i.e. for 405,6360 is 15
LCM of denominators i.e. for 968,3982 is 175208.
Thus, GCF of Fractions is 15/175208.Finally, GCF of Fractions for 405/968, 6360/3982 is 15/175208.