Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4389/276,9568/4931
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 4389,9568
Greatest Common Factor of Numerators i.e. GCF of 4389,9568 is 1 .
LCM of Denominators means LCM of 276,4931 as per the given fractions.
LCM of 276,4931 is 1360956 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4389,9568
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4389
List of positive integer factors of 4389 that divides 4389 without a remainder.
1,3,7,11,19,21,33,57,77,133,209,231,399,627,1463,4389
Factors of 9568
List of positive integer factors of 9568 that divides 9568 without a remainder.
1,2,4,8,13,16,23,26,32,46,52,92,104,184,208,299,368,416,598,736,1196,2392,4784,9568
Greatest Common Factor
We found the factors 4389,9568 . The biggest common factor number is the GCF number.
So the greatest common factor 4389,9568 is 1.
Lets's calculate LCM of 276,4931
Given numbers has no common factors except 1. So, there LCM is their product i.e 1360956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1360956
Therefore, the GCF of Fractions 4389/276,9568/4931 is 1/1360956
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 276,4931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,4931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(276,4931) x common factors =1 x 1 = 1
LCM(276,4931) = ( 276 × 4931 ) / 1
LCM(276,4931) = 1360956 / 1
LCM(276,4931) = 1360956
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 4389/276, 9568/4931?
Answer: GCF of Numerators as per given numbers 4389/276, 9568/4931 is
GCF of Numerators i.e. for 4389,9568 is 1
LCM of denominators i.e. for 276,4931 is 1360956.
Thus, GCF of Fractions is 1/1360956.Finally, GCF of Fractions for 4389/276, 9568/4931 is 1/1360956.