Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 522/76,228/9825
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 522,228
Greatest Common Factor of Numerators i.e. GCF of 522,228 is 6 .
LCM of Denominators means LCM of 76,9825 as per the given fractions.
LCM of 76,9825 is 746700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 522,228
2 | 522, 228 |
3 | 261, 114 |
87, 38 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Greatest Common Factor
We found the factors 522,228 . The biggest common factor number is the GCF number.
So the greatest common factor 522,228 is 6.
Lets's calculate LCM of 76,9825
Given numbers has no common factors except 1. So, there LCM is their product i.e 746700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/746700
Therefore, the GCF of Fractions 522/76,228/9825 is 6/746700
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 76,9825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,9825) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,9825) x common factors =1 x 1 = 1
LCM(76,9825) = ( 76 × 9825 ) / 1
LCM(76,9825) = 746700 / 1
LCM(76,9825) = 746700
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 522/76, 228/9825?
Answer: GCF of Numerators as per given numbers 522/76, 228/9825 is
GCF of Numerators i.e. for 522,228 is 6
LCM of denominators i.e. for 76,9825 is 746700.
Thus, GCF of Fractions is 6/746700.Finally, GCF of Fractions for 522/76, 228/9825 is 6/746700.