Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1994/152,2193/5343
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 1994,2193
Greatest Common Factor of Numerators i.e. GCF of 1994,2193 is 1 .
LCM of Denominators means LCM of 152,5343 as per the given fractions.
LCM of 152,5343 is 812136 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1994,2193
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1994
List of positive integer factors of 1994 that divides 1994 without a remainder.
1,2,997,1994
Factors of 2193
List of positive integer factors of 2193 that divides 2193 without a remainder.
1,3,17,43,51,129,731,2193
Greatest Common Factor
We found the factors 1994,2193 . The biggest common factor number is the GCF number.
So the greatest common factor 1994,2193 is 1.
Lets's calculate LCM of 152,5343
Given numbers has no common factors except 1. So, there LCM is their product i.e 812136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/812136
Therefore, the GCF of Fractions 1994/152,2193/5343 is 1/812136
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 152,5343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,5343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(152,5343) x common factors =1 x 1 = 1
LCM(152,5343) = ( 152 × 5343 ) / 1
LCM(152,5343) = 812136 / 1
LCM(152,5343) = 812136
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 1994/152, 2193/5343?
Answer: GCF of Numerators as per given numbers 1994/152, 2193/5343 is
GCF of Numerators i.e. for 1994,2193 is 1
LCM of denominators i.e. for 152,5343 is 812136.
Thus, GCF of Fractions is 1/812136.Finally, GCF of Fractions for 1994/152, 2193/5343 is 1/812136.