Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 888/2947,509/4784
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 888,509
Greatest Common Factor of Numerators i.e. GCF of 888,509 is 1 .
LCM of Denominators means LCM of 2947,4784 as per the given fractions.
LCM of 2947,4784 is 14098448 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 888,509
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Greatest Common Factor
We found the factors 888,509 . The biggest common factor number is the GCF number.
So the greatest common factor 888,509 is 1.
Lets's calculate LCM of 2947,4784
Given numbers has no common factors except 1. So, there LCM is their product i.e 14098448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14098448
Therefore, the GCF of Fractions 888/2947,509/4784 is 1/14098448
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 2947,4784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2947,4784) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2947,4784) x common factors =1 x 1 = 1
LCM(2947,4784) = ( 2947 × 4784 ) / 1
LCM(2947,4784) = 14098448 / 1
LCM(2947,4784) = 14098448
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 888/2947, 509/4784?
Answer: GCF of Numerators as per given numbers 888/2947, 509/4784 is
GCF of Numerators i.e. for 888,509 is 1
LCM of denominators i.e. for 2947,4784 is 14098448.
Thus, GCF of Fractions is 1/14098448.Finally, GCF of Fractions for 888/2947, 509/4784 is 1/14098448.