Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6165/942,1966/372
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 6165,1966
Greatest Common Factor of Numerators i.e. GCF of 6165,1966 is 1 .
LCM of Denominators means LCM of 942,372 as per the given fractions.
LCM of 942,372 is 58404 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6165,1966
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6165
List of positive integer factors of 6165 that divides 6165 without a remainder.
1,3,5,9,15,45,137,411,685,1233,2055,6165
Factors of 1966
List of positive integer factors of 1966 that divides 1966 without a remainder.
1,2,983,1966
Greatest Common Factor
We found the factors 6165,1966 . The biggest common factor number is the GCF number.
So the greatest common factor 6165,1966 is 1.
Lets's calculate LCM of 942,372
2 | 942, 372 |
3 | 471, 186 |
157, 62 |
∴ So the LCM of the given numbers is 2 x 3 x 157 x 62 = 58404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58404
Therefore, the GCF of Fractions 6165/942,1966/372 is 1/58404
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 942,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,372) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(942,372) x common factors =6 x 1 = 6
LCM(942,372) = ( 942 × 372 ) / 6
LCM(942,372) = 350424 / 6
LCM(942,372) = 58404
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 6165/942, 1966/372?
Answer: GCF of Numerators as per given numbers 6165/942, 1966/372 is
GCF of Numerators i.e. for 6165,1966 is 1
LCM of denominators i.e. for 942,372 is 58404.
Thus, GCF of Fractions is 1/58404.Finally, GCF of Fractions for 6165/942, 1966/372 is 1/58404.