Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6222/262,7134/2168
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 6222,7134
Greatest Common Factor of Numerators i.e. GCF of 6222,7134 is 6 .
LCM of Denominators means LCM of 262,2168 as per the given fractions.
LCM of 262,2168 is 284008 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6222,7134
2 | 6222, 7134 |
3 | 3111, 3567 |
1037, 1189 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 6222
List of positive integer factors of 6222 that divides 6222 without a remainder.
1,2,3,6,17,34,51,61,102,122,183,366,1037,2074,3111,6222
Factors of 7134
List of positive integer factors of 7134 that divides 7134 without a remainder.
1,2,3,6,29,41,58,82,87,123,174,246,1189,2378,3567,7134
Greatest Common Factor
We found the factors 6222,7134 . The biggest common factor number is the GCF number.
So the greatest common factor 6222,7134 is 6.
Lets's calculate LCM of 262,2168
2 | 262, 2168 |
131, 1084 |
∴ So the LCM of the given numbers is 2 x 131 x 1084 = 284008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/284008
Therefore, the GCF of Fractions 6222/262,7134/2168 is 6/284008
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 262,2168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,2168) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(262,2168) x common factors =2 x 1 = 2
LCM(262,2168) = ( 262 × 2168 ) / 2
LCM(262,2168) = 568016 / 2
LCM(262,2168) = 284008
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 6222/262, 7134/2168?
Answer: GCF of Numerators as per given numbers 6222/262, 7134/2168 is
GCF of Numerators i.e. for 6222,7134 is 6
LCM of denominators i.e. for 262,2168 is 284008.
Thus, GCF of Fractions is 6/284008.Finally, GCF of Fractions for 6222/262, 7134/2168 is 6/284008.