Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 270/7998,495/3959
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 270,495
Greatest Common Factor of Numerators i.e. GCF of 270,495 is 45 .
LCM of Denominators means LCM of 7998,3959 as per the given fractions.
LCM of 7998,3959 is 31664082 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 270,495
3 | 270, 495 |
3 | 90, 165 |
5 | 30, 55 |
6, 11 |
∴ So the GCF of the given numbers is 3 x 3 x 5 = 45
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 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Greatest Common Factor
We found the factors 270,495 . The biggest common factor number is the GCF number.
So the greatest common factor 270,495 is 45.
Lets's calculate LCM of 7998,3959
Given numbers has no common factors except 1. So, there LCM is their product i.e 31664082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/31664082
Therefore, the GCF of Fractions 270/7998,495/3959 is 45/31664082
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 7998,3959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7998,3959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7998,3959) x common factors =1 x 1 = 1
LCM(7998,3959) = ( 7998 × 3959 ) / 1
LCM(7998,3959) = 31664082 / 1
LCM(7998,3959) = 31664082
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 270/7998, 495/3959?
Answer: GCF of Numerators as per given numbers 270/7998, 495/3959 is
GCF of Numerators i.e. for 270,495 is 45
LCM of denominators i.e. for 7998,3959 is 31664082.
Thus, GCF of Fractions is 45/31664082.Finally, GCF of Fractions for 270/7998, 495/3959 is 45/31664082.