Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/628,9069/1325
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 52,9069
Greatest Common Factor of Numerators i.e. GCF of 52,9069 is 1 .
LCM of Denominators means LCM of 628,1325 as per the given fractions.
LCM of 628,1325 is 832100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,9069
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 9069
List of positive integer factors of 9069 that divides 9069 without a remainder.
1,3,3023,9069
Greatest Common Factor
We found the factors 52,9069 . The biggest common factor number is the GCF number.
So the greatest common factor 52,9069 is 1.
Lets's calculate LCM of 628,1325
Given numbers has no common factors except 1. So, there LCM is their product i.e 832100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/832100
Therefore, the GCF of Fractions 52/628,9069/1325 is 1/832100
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 628,1325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,1325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(628,1325) x common factors =1 x 1 = 1
LCM(628,1325) = ( 628 × 1325 ) / 1
LCM(628,1325) = 832100 / 1
LCM(628,1325) = 832100
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 52/628, 9069/1325?
Answer: GCF of Numerators as per given numbers 52/628, 9069/1325 is
GCF of Numerators i.e. for 52,9069 is 1
LCM of denominators i.e. for 628,1325 is 832100.
Thus, GCF of Fractions is 1/832100.Finally, GCF of Fractions for 52/628, 9069/1325 is 1/832100.