Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8726/892,1413/9888
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 8726,1413
Greatest Common Factor of Numerators i.e. GCF of 8726,1413 is 1 .
LCM of Denominators means LCM of 892,9888 as per the given fractions.
LCM of 892,9888 is 2205024 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8726,1413
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8726
List of positive integer factors of 8726 that divides 8726 without a remainder.
1,2,4363,8726
Factors of 1413
List of positive integer factors of 1413 that divides 1413 without a remainder.
1,3,9,157,471,1413
Greatest Common Factor
We found the factors 8726,1413 . The biggest common factor number is the GCF number.
So the greatest common factor 8726,1413 is 1.
Lets's calculate LCM of 892,9888
2 | 892, 9888 |
2 | 446, 4944 |
223, 2472 |
∴ So the LCM of the given numbers is 2 x 2 x 223 x 2472 = 2205024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2205024
Therefore, the GCF of Fractions 8726/892,1413/9888 is 1/2205024
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 892,9888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,9888) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(892,9888) x common factors =4 x 1 = 4
LCM(892,9888) = ( 892 × 9888 ) / 4
LCM(892,9888) = 8820096 / 4
LCM(892,9888) = 2205024
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 8726/892, 1413/9888?
Answer: GCF of Numerators as per given numbers 8726/892, 1413/9888 is
GCF of Numerators i.e. for 8726,1413 is 1
LCM of denominators i.e. for 892,9888 is 2205024.
Thus, GCF of Fractions is 1/2205024.Finally, GCF of Fractions for 8726/892, 1413/9888 is 1/2205024.