Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2006/158,1388/2372
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 2006,1388
Greatest Common Factor of Numerators i.e. GCF of 2006,1388 is 2 .
LCM of Denominators means LCM of 158,2372 as per the given fractions.
LCM of 158,2372 is 187388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2006,1388
2 | 2006, 1388 |
1003, 694 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2006
List of positive integer factors of 2006 that divides 2006 without a remainder.
1,2,17,34,59,118,1003,2006
Factors of 1388
List of positive integer factors of 1388 that divides 1388 without a remainder.
1,2,4,347,694,1388
Greatest Common Factor
We found the factors 2006,1388 . The biggest common factor number is the GCF number.
So the greatest common factor 2006,1388 is 2.
Lets's calculate LCM of 158,2372
2 | 158, 2372 |
79, 1186 |
∴ So the LCM of the given numbers is 2 x 79 x 1186 = 187388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/187388
Therefore, the GCF of Fractions 2006/158,1388/2372 is 2/187388
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 158,2372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,2372) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(158,2372) x common factors =2 x 1 = 2
LCM(158,2372) = ( 158 × 2372 ) / 2
LCM(158,2372) = 374776 / 2
LCM(158,2372) = 187388
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 2006/158, 1388/2372?
Answer: GCF of Numerators as per given numbers 2006/158, 1388/2372 is
GCF of Numerators i.e. for 2006,1388 is 2
LCM of denominators i.e. for 158,2372 is 187388.
Thus, GCF of Fractions is 2/187388.Finally, GCF of Fractions for 2006/158, 1388/2372 is 2/187388.