Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7484/647,4155/2425
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 7484,4155
Greatest Common Factor of Numerators i.e. GCF of 7484,4155 is 1 .
LCM of Denominators means LCM of 647,2425 as per the given fractions.
LCM of 647,2425 is 1568975 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7484,4155
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7484
List of positive integer factors of 7484 that divides 7484 without a remainder.
1,2,4,1871,3742,7484
Factors of 4155
List of positive integer factors of 4155 that divides 4155 without a remainder.
1,3,5,15,277,831,1385,4155
Greatest Common Factor
We found the factors 7484,4155 . The biggest common factor number is the GCF number.
So the greatest common factor 7484,4155 is 1.
Lets's calculate LCM of 647,2425
Given numbers has no common factors except 1. So, there LCM is their product i.e 1568975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1568975
Therefore, the GCF of Fractions 7484/647,4155/2425 is 1/1568975
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 647,2425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,2425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,2425) x common factors =1 x 1 = 1
LCM(647,2425) = ( 647 × 2425 ) / 1
LCM(647,2425) = 1568975 / 1
LCM(647,2425) = 1568975
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 7484/647, 4155/2425?
Answer: GCF of Numerators as per given numbers 7484/647, 4155/2425 is
GCF of Numerators i.e. for 7484,4155 is 1
LCM of denominators i.e. for 647,2425 is 1568975.
Thus, GCF of Fractions is 1/1568975.Finally, GCF of Fractions for 7484/647, 4155/2425 is 1/1568975.