Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 226/866,8767/324
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 226,8767
Greatest Common Factor of Numerators i.e. GCF of 226,8767 is 1 .
LCM of Denominators means LCM of 866,324 as per the given fractions.
LCM of 866,324 is 140292 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 226,8767
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Factors of 8767
List of positive integer factors of 8767 that divides 8767 without a remainder.
1,11,797,8767
Greatest Common Factor
We found the factors 226,8767 . The biggest common factor number is the GCF number.
So the greatest common factor 226,8767 is 1.
Lets's calculate LCM of 866,324
2 | 866, 324 |
433, 162 |
∴ So the LCM of the given numbers is 2 x 433 x 162 = 140292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140292
Therefore, the GCF of Fractions 226/866,8767/324 is 1/140292
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 866,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,324) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(866,324) x common factors =2 x 1 = 2
LCM(866,324) = ( 866 × 324 ) / 2
LCM(866,324) = 280584 / 2
LCM(866,324) = 140292
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 226/866, 8767/324?
Answer: GCF of Numerators as per given numbers 226/866, 8767/324 is
GCF of Numerators i.e. for 226,8767 is 1
LCM of denominators i.e. for 866,324 is 140292.
Thus, GCF of Fractions is 1/140292.Finally, GCF of Fractions for 226/866, 8767/324 is 1/140292.