Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3381/607,2007/6092
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 3381,2007
Greatest Common Factor of Numerators i.e. GCF of 3381,2007 is 3 .
LCM of Denominators means LCM of 607,6092 as per the given fractions.
LCM of 607,6092 is 3697844 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3381,2007
3 | 3381, 2007 |
1127, 669 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3381
List of positive integer factors of 3381 that divides 3381 without a remainder.
1,3,7,21,23,49,69,147,161,483,1127,3381
Factors of 2007
List of positive integer factors of 2007 that divides 2007 without a remainder.
1,3,9,223,669,2007
Greatest Common Factor
We found the factors 3381,2007 . The biggest common factor number is the GCF number.
So the greatest common factor 3381,2007 is 3.
Lets's calculate LCM of 607,6092
Given numbers has no common factors except 1. So, there LCM is their product i.e 3697844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3697844
Therefore, the GCF of Fractions 3381/607,2007/6092 is 3/3697844
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 607,6092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,6092) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(607,6092) x common factors =1 x 1 = 1
LCM(607,6092) = ( 607 × 6092 ) / 1
LCM(607,6092) = 3697844 / 1
LCM(607,6092) = 3697844
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 3381/607, 2007/6092?
Answer: GCF of Numerators as per given numbers 3381/607, 2007/6092 is
GCF of Numerators i.e. for 3381,2007 is 3
LCM of denominators i.e. for 607,6092 is 3697844.
Thus, GCF of Fractions is 3/3697844.Finally, GCF of Fractions for 3381/607, 2007/6092 is 3/3697844.