Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9816/473,5959/3557
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 9816,5959
Greatest Common Factor of Numerators i.e. GCF of 9816,5959 is 1 .
LCM of Denominators means LCM of 473,3557 as per the given fractions.
LCM of 473,3557 is 1682461 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9816,5959
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9816
List of positive integer factors of 9816 that divides 9816 without a remainder.
1,2,3,4,6,8,12,24,409,818,1227,1636,2454,3272,4908,9816
Factors of 5959
List of positive integer factors of 5959 that divides 5959 without a remainder.
1,59,101,5959
Greatest Common Factor
We found the factors 9816,5959 . The biggest common factor number is the GCF number.
So the greatest common factor 9816,5959 is 1.
Lets's calculate LCM of 473,3557
Given numbers has no common factors except 1. So, there LCM is their product i.e 1682461
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1682461
Therefore, the GCF of Fractions 9816/473,5959/3557 is 1/1682461
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 473,3557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,3557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(473,3557) x common factors =1 x 1 = 1
LCM(473,3557) = ( 473 × 3557 ) / 1
LCM(473,3557) = 1682461 / 1
LCM(473,3557) = 1682461
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 9816/473, 5959/3557?
Answer: GCF of Numerators as per given numbers 9816/473, 5959/3557 is
GCF of Numerators i.e. for 9816,5959 is 1
LCM of denominators i.e. for 473,3557 is 1682461.
Thus, GCF of Fractions is 1/1682461.Finally, GCF of Fractions for 9816/473, 5959/3557 is 1/1682461.