Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 354/90,570/60,135/615
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 354,570,135
Greatest Common Factor of Numerators i.e. GCF of 354,570,135 is 3 .
LCM of Denominators means LCM of 90,60,615 as per the given fractions.
LCM of 90,60,615 is 7380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 354,570,135
3 | 354, 570, 135 |
118, 190, 45 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 354
List of positive integer factors of 354 that divides 354 without a remainder.
1,2,3,6,59,118,177,354
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 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Greatest Common Factor
We found the factors 354,570,135 . The biggest common factor number is the GCF number.
So the greatest common factor 354,570,135 is 3.
Lets's calculate LCM of 90,60,615
2 | 90, 60, 615 |
3 | 45, 30, 615 |
5 | 15, 10, 205 |
3, 2, 41 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 2 x 41 = 7380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7380
Therefore, the GCF of Fractions 354/90,570/60,135/615 is 3/7380
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 90,60,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,60,615) = 15
common factors(in case of two or more numbers have common factors) = 30
GCF(90,60,615) x common factors =15 x 30 = 450
LCM(90,60,615) = ( 90 × 60 × 615 ) / 450
LCM(90,60,615) = 3321000 / 450
LCM(90,60,615) = 7380
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 354/90, 570/60, 135/615?
Answer: GCF of Numerators as per given numbers 354/90, 570/60, 135/615 is
GCF of Numerators i.e. for 354,570,135 is 3
LCM of denominators i.e. for 90,60,615 is 7380.
Thus, GCF of Fractions is 3/7380.Finally, GCF of Fractions for 354/90, 570/60, 135/615 is 3/7380.