Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2684/552,7081/4571
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 2684,7081
Greatest Common Factor of Numerators i.e. GCF of 2684,7081 is 1 .
LCM of Denominators means LCM of 552,4571 as per the given fractions.
LCM of 552,4571 is 2523192 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2684,7081
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2684
List of positive integer factors of 2684 that divides 2684 without a remainder.
1,2,4,11,22,44,61,122,244,671,1342,2684
Factors of 7081
List of positive integer factors of 7081 that divides 7081 without a remainder.
1,73,97,7081
Greatest Common Factor
We found the factors 2684,7081 . The biggest common factor number is the GCF number.
So the greatest common factor 2684,7081 is 1.
Lets's calculate LCM of 552,4571
Given numbers has no common factors except 1. So, there LCM is their product i.e 2523192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2523192
Therefore, the GCF of Fractions 2684/552,7081/4571 is 1/2523192
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 552,4571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,4571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(552,4571) x common factors =1 x 1 = 1
LCM(552,4571) = ( 552 × 4571 ) / 1
LCM(552,4571) = 2523192 / 1
LCM(552,4571) = 2523192
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 2684/552, 7081/4571?
Answer: GCF of Numerators as per given numbers 2684/552, 7081/4571 is
GCF of Numerators i.e. for 2684,7081 is 1
LCM of denominators i.e. for 552,4571 is 2523192.
Thus, GCF of Fractions is 1/2523192.Finally, GCF of Fractions for 2684/552, 7081/4571 is 1/2523192.