Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 270/50,175/8994
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 270,175
Greatest Common Factor of Numerators i.e. GCF of 270,175 is 5 .
LCM of Denominators means LCM of 50,8994 as per the given fractions.
LCM of 50,8994 is 224850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 270,175
5 | 270, 175 |
54, 35 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Greatest Common Factor
We found the factors 270,175 . The biggest common factor number is the GCF number.
So the greatest common factor 270,175 is 5.
Lets's calculate LCM of 50,8994
2 | 50, 8994 |
25, 4497 |
∴ So the LCM of the given numbers is 2 x 25 x 4497 = 224850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/224850
Therefore, the GCF of Fractions 270/50,175/8994 is 5/224850
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 50,8994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,8994) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(50,8994) x common factors =2 x 1 = 2
LCM(50,8994) = ( 50 × 8994 ) / 2
LCM(50,8994) = 449700 / 2
LCM(50,8994) = 224850
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 270/50, 175/8994?
Answer: GCF of Numerators as per given numbers 270/50, 175/8994 is
GCF of Numerators i.e. for 270,175 is 5
LCM of denominators i.e. for 50,8994 is 224850.
Thus, GCF of Fractions is 5/224850.Finally, GCF of Fractions for 270/50, 175/8994 is 5/224850.