Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 163/157,2388/180
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 163,2388
Greatest Common Factor of Numerators i.e. GCF of 163,2388 is 1 .
LCM of Denominators means LCM of 157,180 as per the given fractions.
LCM of 157,180 is 28260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 163,2388
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 163
List of positive integer factors of 163 that divides 163 without a remainder.
1,163
Factors of 2388
List of positive integer factors of 2388 that divides 2388 without a remainder.
1,2,3,4,6,12,199,398,597,796,1194,2388
Greatest Common Factor
We found the factors 163,2388 . The biggest common factor number is the GCF number.
So the greatest common factor 163,2388 is 1.
Lets's calculate LCM of 157,180
Given numbers has no common factors except 1. So, there LCM is their product i.e 28260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28260
Therefore, the GCF of Fractions 163/157,2388/180 is 1/28260
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 157,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,180) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,180) x common factors =1 x 1 = 1
LCM(157,180) = ( 157 × 180 ) / 1
LCM(157,180) = 28260 / 1
LCM(157,180) = 28260
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 163/157, 2388/180?
Answer: GCF of Numerators as per given numbers 163/157, 2388/180 is
GCF of Numerators i.e. for 163,2388 is 1
LCM of denominators i.e. for 157,180 is 28260.
Thus, GCF of Fractions is 1/28260.Finally, GCF of Fractions for 163/157, 2388/180 is 1/28260.