Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6385/277,3475/915
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 6385,3475
Greatest Common Factor of Numerators i.e. GCF of 6385,3475 is 5 .
LCM of Denominators means LCM of 277,915 as per the given fractions.
LCM of 277,915 is 253455 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6385,3475
5 | 6385, 3475 |
1277, 695 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 6385
List of positive integer factors of 6385 that divides 6385 without a remainder.
1,5,1277,6385
Factors of 3475
List of positive integer factors of 3475 that divides 3475 without a remainder.
1,5,25,139,695,3475
Greatest Common Factor
We found the factors 6385,3475 . The biggest common factor number is the GCF number.
So the greatest common factor 6385,3475 is 5.
Lets's calculate LCM of 277,915
Given numbers has no common factors except 1. So, there LCM is their product i.e 253455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/253455
Therefore, the GCF of Fractions 6385/277,3475/915 is 5/253455
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 277,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,915) x common factors =1 x 1 = 1
LCM(277,915) = ( 277 × 915 ) / 1
LCM(277,915) = 253455 / 1
LCM(277,915) = 253455
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 6385/277, 3475/915?
Answer: GCF of Numerators as per given numbers 6385/277, 3475/915 is
GCF of Numerators i.e. for 6385,3475 is 5
LCM of denominators i.e. for 277,915 is 253455.
Thus, GCF of Fractions is 5/253455.Finally, GCF of Fractions for 6385/277, 3475/915 is 5/253455.