Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1316/90,2288/177
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 1316,2288
Greatest Common Factor of Numerators i.e. GCF of 1316,2288 is 4 .
LCM of Denominators means LCM of 90,177 as per the given fractions.
LCM of 90,177 is 5310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1316,2288
2 | 1316, 2288 |
2 | 658, 1144 |
329, 572 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 1316
List of positive integer factors of 1316 that divides 1316 without a remainder.
1,2,4,7,14,28,47,94,188,329,658,1316
Factors of 2288
List of positive integer factors of 2288 that divides 2288 without a remainder.
1,2,4,8,11,13,16,22,26,44,52,88,104,143,176,208,286,572,1144,2288
Greatest Common Factor
We found the factors 1316,2288 . The biggest common factor number is the GCF number.
So the greatest common factor 1316,2288 is 4.
Lets's calculate LCM of 90,177
3 | 90, 177 |
30, 59 |
∴ So the LCM of the given numbers is 3 x 30 x 59 = 5310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5310
Therefore, the GCF of Fractions 1316/90,2288/177 is 4/5310
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 90,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,177) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(90,177) x common factors =3 x 1 = 3
LCM(90,177) = ( 90 × 177 ) / 3
LCM(90,177) = 15930 / 3
LCM(90,177) = 5310
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 1316/90, 2288/177?
Answer: GCF of Numerators as per given numbers 1316/90, 2288/177 is
GCF of Numerators i.e. for 1316,2288 is 4
LCM of denominators i.e. for 90,177 is 5310.
Thus, GCF of Fractions is 4/5310.Finally, GCF of Fractions for 1316/90, 2288/177 is 4/5310.