Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4253/795,1994/2212
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 4253,1994
Greatest Common Factor of Numerators i.e. GCF of 4253,1994 is 1 .
LCM of Denominators means LCM of 795,2212 as per the given fractions.
LCM of 795,2212 is 1758540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4253,1994
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4253
List of positive integer factors of 4253 that divides 4253 without a remainder.
1,4253
Factors of 1994
List of positive integer factors of 1994 that divides 1994 without a remainder.
1,2,997,1994
Greatest Common Factor
We found the factors 4253,1994 . The biggest common factor number is the GCF number.
So the greatest common factor 4253,1994 is 1.
Lets's calculate LCM of 795,2212
Given numbers has no common factors except 1. So, there LCM is their product i.e 1758540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1758540
Therefore, the GCF of Fractions 4253/795,1994/2212 is 1/1758540
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 795,2212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,2212) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(795,2212) x common factors =1 x 1 = 1
LCM(795,2212) = ( 795 × 2212 ) / 1
LCM(795,2212) = 1758540 / 1
LCM(795,2212) = 1758540
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 4253/795, 1994/2212?
Answer: GCF of Numerators as per given numbers 4253/795, 1994/2212 is
GCF of Numerators i.e. for 4253,1994 is 1
LCM of denominators i.e. for 795,2212 is 1758540.
Thus, GCF of Fractions is 1/1758540.Finally, GCF of Fractions for 4253/795, 1994/2212 is 1/1758540.