Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3607/173,2854/3956
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 3607,2854
Greatest Common Factor of Numerators i.e. GCF of 3607,2854 is 1 .
LCM of Denominators means LCM of 173,3956 as per the given fractions.
LCM of 173,3956 is 684388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3607,2854
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3607
List of positive integer factors of 3607 that divides 3607 without a remainder.
1,3607
Factors of 2854
List of positive integer factors of 2854 that divides 2854 without a remainder.
1,2,1427,2854
Greatest Common Factor
We found the factors 3607,2854 . The biggest common factor number is the GCF number.
So the greatest common factor 3607,2854 is 1.
Lets's calculate LCM of 173,3956
Given numbers has no common factors except 1. So, there LCM is their product i.e 684388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/684388
Therefore, the GCF of Fractions 3607/173,2854/3956 is 1/684388
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 173,3956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,3956) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,3956) x common factors =1 x 1 = 1
LCM(173,3956) = ( 173 × 3956 ) / 1
LCM(173,3956) = 684388 / 1
LCM(173,3956) = 684388
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 3607/173, 2854/3956?
Answer: GCF of Numerators as per given numbers 3607/173, 2854/3956 is
GCF of Numerators i.e. for 3607,2854 is 1
LCM of denominators i.e. for 173,3956 is 684388.
Thus, GCF of Fractions is 1/684388.Finally, GCF of Fractions for 3607/173, 2854/3956 is 1/684388.