Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1507/732,5747/9433
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 1507,5747
Greatest Common Factor of Numerators i.e. GCF of 1507,5747 is 1 .
LCM of Denominators means LCM of 732,9433 as per the given fractions.
LCM of 732,9433 is 6904956 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1507,5747
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1507
List of positive integer factors of 1507 that divides 1507 without a remainder.
1,11,137,1507
Factors of 5747
List of positive integer factors of 5747 that divides 5747 without a remainder.
1,7,821,5747
Greatest Common Factor
We found the factors 1507,5747 . The biggest common factor number is the GCF number.
So the greatest common factor 1507,5747 is 1.
Lets's calculate LCM of 732,9433
Given numbers has no common factors except 1. So, there LCM is their product i.e 6904956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6904956
Therefore, the GCF of Fractions 1507/732,5747/9433 is 1/6904956
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 732,9433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,9433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(732,9433) x common factors =1 x 1 = 1
LCM(732,9433) = ( 732 × 9433 ) / 1
LCM(732,9433) = 6904956 / 1
LCM(732,9433) = 6904956
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 1507/732, 5747/9433?
Answer: GCF of Numerators as per given numbers 1507/732, 5747/9433 is
GCF of Numerators i.e. for 1507,5747 is 1
LCM of denominators i.e. for 732,9433 is 6904956.
Thus, GCF of Fractions is 1/6904956.Finally, GCF of Fractions for 1507/732, 5747/9433 is 1/6904956.