Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7944/934,2387/255
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 7944,2387
Greatest Common Factor of Numerators i.e. GCF of 7944,2387 is 1 .
LCM of Denominators means LCM of 934,255 as per the given fractions.
LCM of 934,255 is 238170 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7944,2387
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7944
List of positive integer factors of 7944 that divides 7944 without a remainder.
1,2,3,4,6,8,12,24,331,662,993,1324,1986,2648,3972,7944
Factors of 2387
List of positive integer factors of 2387 that divides 2387 without a remainder.
1,7,11,31,77,217,341,2387
Greatest Common Factor
We found the factors 7944,2387 . The biggest common factor number is the GCF number.
So the greatest common factor 7944,2387 is 1.
Lets's calculate LCM of 934,255
Given numbers has no common factors except 1. So, there LCM is their product i.e 238170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238170
Therefore, the GCF of Fractions 7944/934,2387/255 is 1/238170
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 934,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,255) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(934,255) x common factors =1 x 1 = 1
LCM(934,255) = ( 934 × 255 ) / 1
LCM(934,255) = 238170 / 1
LCM(934,255) = 238170
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 7944/934, 2387/255?
Answer: GCF of Numerators as per given numbers 7944/934, 2387/255 is
GCF of Numerators i.e. for 7944,2387 is 1
LCM of denominators i.e. for 934,255 is 238170.
Thus, GCF of Fractions is 1/238170.Finally, GCF of Fractions for 7944/934, 2387/255 is 1/238170.