Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 570/381,665/135
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 570,665
Greatest Common Factor of Numerators i.e. GCF of 570,665 is 95 .
LCM of Denominators means LCM of 381,135 as per the given fractions.
LCM of 381,135 is 17145 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 570,665
5 | 570, 665 |
19 | 114, 133 |
6, 7 |
∴ So the GCF of the given numbers is 5 x 19 = 95
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Greatest Common Factor
We found the factors 570,665 . The biggest common factor number is the GCF number.
So the greatest common factor 570,665 is 95.
Lets's calculate LCM of 381,135
3 | 381, 135 |
127, 45 |
∴ So the LCM of the given numbers is 3 x 127 x 45 = 17145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 95/17145
Therefore, the GCF of Fractions 570/381,665/135 is 95/17145
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 381,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,135) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(381,135) x common factors =3 x 1 = 3
LCM(381,135) = ( 381 × 135 ) / 3
LCM(381,135) = 51435 / 3
LCM(381,135) = 17145
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 570/381, 665/135?
Answer: GCF of Numerators as per given numbers 570/381, 665/135 is
GCF of Numerators i.e. for 570,665 is 95
LCM of denominators i.e. for 381,135 is 17145.
Thus, GCF of Fractions is 95/17145.Finally, GCF of Fractions for 570/381, 665/135 is 95/17145.