Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8270/31,3065/287
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 8270,3065
Greatest Common Factor of Numerators i.e. GCF of 8270,3065 is 5 .
LCM of Denominators means LCM of 31,287 as per the given fractions.
LCM of 31,287 is 8897 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8270,3065
5 | 8270, 3065 |
1654, 613 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 8270
List of positive integer factors of 8270 that divides 8270 without a remainder.
1,2,5,10,827,1654,4135,8270
Factors of 3065
List of positive integer factors of 3065 that divides 3065 without a remainder.
1,5,613,3065
Greatest Common Factor
We found the factors 8270,3065 . The biggest common factor number is the GCF number.
So the greatest common factor 8270,3065 is 5.
Lets's calculate LCM of 31,287
Given numbers has no common factors except 1. So, there LCM is their product i.e 8897
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8897
Therefore, the GCF of Fractions 8270/31,3065/287 is 5/8897
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 31,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,287) x common factors =1 x 1 = 1
LCM(31,287) = ( 31 × 287 ) / 1
LCM(31,287) = 8897 / 1
LCM(31,287) = 8897
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 8270/31, 3065/287?
Answer: GCF of Numerators as per given numbers 8270/31, 3065/287 is
GCF of Numerators i.e. for 8270,3065 is 5
LCM of denominators i.e. for 31,287 is 8897.
Thus, GCF of Fractions is 5/8897.Finally, GCF of Fractions for 8270/31, 3065/287 is 5/8897.