Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8180/87,6063/472
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 8180,6063
Greatest Common Factor of Numerators i.e. GCF of 8180,6063 is 1 .
LCM of Denominators means LCM of 87,472 as per the given fractions.
LCM of 87,472 is 41064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8180,6063
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8180
List of positive integer factors of 8180 that divides 8180 without a remainder.
1,2,4,5,10,20,409,818,1636,2045,4090,8180
Factors of 6063
List of positive integer factors of 6063 that divides 6063 without a remainder.
1,3,43,47,129,141,2021,6063
Greatest Common Factor
We found the factors 8180,6063 . The biggest common factor number is the GCF number.
So the greatest common factor 8180,6063 is 1.
Lets's calculate LCM of 87,472
Given numbers has no common factors except 1. So, there LCM is their product i.e 41064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41064
Therefore, the GCF of Fractions 8180/87,6063/472 is 1/41064
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 87,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,472) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,472) x common factors =1 x 1 = 1
LCM(87,472) = ( 87 × 472 ) / 1
LCM(87,472) = 41064 / 1
LCM(87,472) = 41064
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 8180/87, 6063/472?
Answer: GCF of Numerators as per given numbers 8180/87, 6063/472 is
GCF of Numerators i.e. for 8180,6063 is 1
LCM of denominators i.e. for 87,472 is 41064.
Thus, GCF of Fractions is 1/41064.Finally, GCF of Fractions for 8180/87, 6063/472 is 1/41064.