Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 265/643,2165/1997
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 265,2165
Greatest Common Factor of Numerators i.e. GCF of 265,2165 is 5 .
LCM of Denominators means LCM of 643,1997 as per the given fractions.
LCM of 643,1997 is 1284071 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 265,2165
5 | 265, 2165 |
53, 433 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 2165
List of positive integer factors of 2165 that divides 2165 without a remainder.
1,5,433,2165
Greatest Common Factor
We found the factors 265,2165 . The biggest common factor number is the GCF number.
So the greatest common factor 265,2165 is 5.
Lets's calculate LCM of 643,1997
Given numbers has no common factors except 1. So, there LCM is their product i.e 1284071
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1284071
Therefore, the GCF of Fractions 265/643,2165/1997 is 5/1284071
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 643,1997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,1997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,1997) x common factors =1 x 1 = 1
LCM(643,1997) = ( 643 × 1997 ) / 1
LCM(643,1997) = 1284071 / 1
LCM(643,1997) = 1284071
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 265/643, 2165/1997?
Answer: GCF of Numerators as per given numbers 265/643, 2165/1997 is
GCF of Numerators i.e. for 265,2165 is 5
LCM of denominators i.e. for 643,1997 is 1284071.
Thus, GCF of Fractions is 5/1284071.Finally, GCF of Fractions for 265/643, 2165/1997 is 5/1284071.