Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2268/95,4299/866
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 2268,4299
Greatest Common Factor of Numerators i.e. GCF of 2268,4299 is 3 .
LCM of Denominators means LCM of 95,866 as per the given fractions.
LCM of 95,866 is 82270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2268,4299
3 | 2268, 4299 |
756, 1433 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2268
List of positive integer factors of 2268 that divides 2268 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,252,324,378,567,756,1134,2268
Factors of 4299
List of positive integer factors of 4299 that divides 4299 without a remainder.
1,3,1433,4299
Greatest Common Factor
We found the factors 2268,4299 . The biggest common factor number is the GCF number.
So the greatest common factor 2268,4299 is 3.
Lets's calculate LCM of 95,866
Given numbers has no common factors except 1. So, there LCM is their product i.e 82270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/82270
Therefore, the GCF of Fractions 2268/95,4299/866 is 3/82270
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 95,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,866) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,866) x common factors =1 x 1 = 1
LCM(95,866) = ( 95 × 866 ) / 1
LCM(95,866) = 82270 / 1
LCM(95,866) = 82270
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 2268/95, 4299/866?
Answer: GCF of Numerators as per given numbers 2268/95, 4299/866 is
GCF of Numerators i.e. for 2268,4299 is 3
LCM of denominators i.e. for 95,866 is 82270.
Thus, GCF of Fractions is 3/82270.Finally, GCF of Fractions for 2268/95, 4299/866 is 3/82270.