Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 67/18,616/65,255/47
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 67,616,255
Greatest Common Factor of Numerators i.e. GCF of 67,616,255 is 1 .
LCM of Denominators means LCM of 18,65,47 as per the given fractions.
LCM of 18,65,47 is 54990 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 67,616,255
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 67,616,255 . The biggest common factor number is the GCF number.
So the greatest common factor 67,616,255 is 1.
Lets's calculate LCM of 18,65,47
Given numbers has no common factors except 1. So, there LCM is their product i.e 54990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54990
Therefore, the GCF of Fractions 67/18,616/65,255/47 is 1/54990
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 18,65,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,65,47) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,65,47) x common factors =1 x 1 = 1
LCM(18,65,47) = ( 18 × 65 × 47 ) / 1
LCM(18,65,47) = 54990 / 1
LCM(18,65,47) = 54990
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 67/18, 616/65, 255/47?
Answer: GCF of Numerators as per given numbers 67/18, 616/65, 255/47 is
GCF of Numerators i.e. for 67,616,255 is 1
LCM of denominators i.e. for 18,65,47 is 54990.
Thus, GCF of Fractions is 1/54990.Finally, GCF of Fractions for 67/18, 616/65, 255/47 is 1/54990.