Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 255/76,8196/965
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 255,8196
Greatest Common Factor of Numerators i.e. GCF of 255,8196 is 3 .
LCM of Denominators means LCM of 76,965 as per the given fractions.
LCM of 76,965 is 73340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 255,8196
3 | 255, 8196 |
85, 2732 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Factors of 8196
List of positive integer factors of 8196 that divides 8196 without a remainder.
1,2,3,4,6,12,683,1366,2049,2732,4098,8196
Greatest Common Factor
We found the factors 255,8196 . The biggest common factor number is the GCF number.
So the greatest common factor 255,8196 is 3.
Lets's calculate LCM of 76,965
Given numbers has no common factors except 1. So, there LCM is their product i.e 73340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/73340
Therefore, the GCF of Fractions 255/76,8196/965 is 3/73340
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 76,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,965) x common factors =1 x 1 = 1
LCM(76,965) = ( 76 × 965 ) / 1
LCM(76,965) = 73340 / 1
LCM(76,965) = 73340
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 255/76, 8196/965?
Answer: GCF of Numerators as per given numbers 255/76, 8196/965 is
GCF of Numerators i.e. for 255,8196 is 3
LCM of denominators i.e. for 76,965 is 73340.
Thus, GCF of Fractions is 3/73340.Finally, GCF of Fractions for 255/76, 8196/965 is 3/73340.