Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2442/371,2412/9069
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 2442,2412
Greatest Common Factor of Numerators i.e. GCF of 2442,2412 is 6 .
LCM of Denominators means LCM of 371,9069 as per the given fractions.
LCM of 371,9069 is 3364599 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2442,2412
2 | 2442, 2412 |
3 | 1221, 1206 |
407, 402 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 2442
List of positive integer factors of 2442 that divides 2442 without a remainder.
1,2,3,6,11,22,33,37,66,74,111,222,407,814,1221,2442
Factors of 2412
List of positive integer factors of 2412 that divides 2412 without a remainder.
1,2,3,4,6,9,12,18,36,67,134,201,268,402,603,804,1206,2412
Greatest Common Factor
We found the factors 2442,2412 . The biggest common factor number is the GCF number.
So the greatest common factor 2442,2412 is 6.
Lets's calculate LCM of 371,9069
Given numbers has no common factors except 1. So, there LCM is their product i.e 3364599
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3364599
Therefore, the GCF of Fractions 2442/371,2412/9069 is 6/3364599
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 371,9069 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,9069) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(371,9069) x common factors =1 x 1 = 1
LCM(371,9069) = ( 371 × 9069 ) / 1
LCM(371,9069) = 3364599 / 1
LCM(371,9069) = 3364599
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 2442/371, 2412/9069?
Answer: GCF of Numerators as per given numbers 2442/371, 2412/9069 is
GCF of Numerators i.e. for 2442,2412 is 6
LCM of denominators i.e. for 371,9069 is 3364599.
Thus, GCF of Fractions is 6/3364599.Finally, GCF of Fractions for 2442/371, 2412/9069 is 6/3364599.