Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2988/947,4963/2754
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 2988,4963
Greatest Common Factor of Numerators i.e. GCF of 2988,4963 is 1 .
LCM of Denominators means LCM of 947,2754 as per the given fractions.
LCM of 947,2754 is 2608038 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2988,4963
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2988
List of positive integer factors of 2988 that divides 2988 without a remainder.
1,2,3,4,6,9,12,18,36,83,166,249,332,498,747,996,1494,2988
Factors of 4963
List of positive integer factors of 4963 that divides 4963 without a remainder.
1,7,709,4963
Greatest Common Factor
We found the factors 2988,4963 . The biggest common factor number is the GCF number.
So the greatest common factor 2988,4963 is 1.
Lets's calculate LCM of 947,2754
Given numbers has no common factors except 1. So, there LCM is their product i.e 2608038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2608038
Therefore, the GCF of Fractions 2988/947,4963/2754 is 1/2608038
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 947,2754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(947,2754) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(947,2754) x common factors =1 x 1 = 1
LCM(947,2754) = ( 947 × 2754 ) / 1
LCM(947,2754) = 2608038 / 1
LCM(947,2754) = 2608038
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 2988/947, 4963/2754?
Answer: GCF of Numerators as per given numbers 2988/947, 4963/2754 is
GCF of Numerators i.e. for 2988,4963 is 1
LCM of denominators i.e. for 947,2754 is 2608038.
Thus, GCF of Fractions is 1/2608038.Finally, GCF of Fractions for 2988/947, 4963/2754 is 1/2608038.