Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9916/719,7943/478
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 9916,7943
Greatest Common Factor of Numerators i.e. GCF of 9916,7943 is 1 .
LCM of Denominators means LCM of 719,478 as per the given fractions.
LCM of 719,478 is 343682 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9916,7943
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9916
List of positive integer factors of 9916 that divides 9916 without a remainder.
1,2,4,37,67,74,134,148,268,2479,4958,9916
Factors of 7943
List of positive integer factors of 7943 that divides 7943 without a remainder.
1,13,47,169,611,7943
Greatest Common Factor
We found the factors 9916,7943 . The biggest common factor number is the GCF number.
So the greatest common factor 9916,7943 is 1.
Lets's calculate LCM of 719,478
Given numbers has no common factors except 1. So, there LCM is their product i.e 343682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/343682
Therefore, the GCF of Fractions 9916/719,7943/478 is 1/343682
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 719,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,478) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,478) x common factors =1 x 1 = 1
LCM(719,478) = ( 719 × 478 ) / 1
LCM(719,478) = 343682 / 1
LCM(719,478) = 343682
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 9916/719, 7943/478?
Answer: GCF of Numerators as per given numbers 9916/719, 7943/478 is
GCF of Numerators i.e. for 9916,7943 is 1
LCM of denominators i.e. for 719,478 is 343682.
Thus, GCF of Fractions is 1/343682.Finally, GCF of Fractions for 9916/719, 7943/478 is 1/343682.