Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7932/837,1445/487
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 7932,1445
Greatest Common Factor of Numerators i.e. GCF of 7932,1445 is 1 .
LCM of Denominators means LCM of 837,487 as per the given fractions.
LCM of 837,487 is 407619 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7932,1445
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7932
List of positive integer factors of 7932 that divides 7932 without a remainder.
1,2,3,4,6,12,661,1322,1983,2644,3966,7932
Factors of 1445
List of positive integer factors of 1445 that divides 1445 without a remainder.
1,5,17,85,289,1445
Greatest Common Factor
We found the factors 7932,1445 . The biggest common factor number is the GCF number.
So the greatest common factor 7932,1445 is 1.
Lets's calculate LCM of 837,487
Given numbers has no common factors except 1. So, there LCM is their product i.e 407619
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/407619
Therefore, the GCF of Fractions 7932/837,1445/487 is 1/407619
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 837,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,487) x common factors =1 x 1 = 1
LCM(837,487) = ( 837 × 487 ) / 1
LCM(837,487) = 407619 / 1
LCM(837,487) = 407619
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 7932/837, 1445/487?
Answer: GCF of Numerators as per given numbers 7932/837, 1445/487 is
GCF of Numerators i.e. for 7932,1445 is 1
LCM of denominators i.e. for 837,487 is 407619.
Thus, GCF of Fractions is 1/407619.Finally, GCF of Fractions for 7932/837, 1445/487 is 1/407619.