Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 195/3173,992/1550
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 195,992
Greatest Common Factor of Numerators i.e. GCF of 195,992 is 1 .
LCM of Denominators means LCM of 3173,1550 as per the given fractions.
LCM of 3173,1550 is 4918150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 195,992
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 195,992 . The biggest common factor number is the GCF number.
So the greatest common factor 195,992 is 1.
Lets's calculate LCM of 3173,1550
Given numbers has no common factors except 1. So, there LCM is their product i.e 4918150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4918150
Therefore, the GCF of Fractions 195/3173,992/1550 is 1/4918150
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 3173,1550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3173,1550) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3173,1550) x common factors =1 x 1 = 1
LCM(3173,1550) = ( 3173 × 1550 ) / 1
LCM(3173,1550) = 4918150 / 1
LCM(3173,1550) = 4918150
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 195/3173, 992/1550?
Answer: GCF of Numerators as per given numbers 195/3173, 992/1550 is
GCF of Numerators i.e. for 195,992 is 1
LCM of denominators i.e. for 3173,1550 is 4918150.
Thus, GCF of Fractions is 1/4918150.Finally, GCF of Fractions for 195/3173, 992/1550 is 1/4918150.