Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1447/401,9621/835
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 1447,9621
Greatest Common Factor of Numerators i.e. GCF of 1447,9621 is 1 .
LCM of Denominators means LCM of 401,835 as per the given fractions.
LCM of 401,835 is 334835 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1447,9621
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1447
List of positive integer factors of 1447 that divides 1447 without a remainder.
1,1447
Factors of 9621
List of positive integer factors of 9621 that divides 9621 without a remainder.
1,3,9,1069,3207,9621
Greatest Common Factor
We found the factors 1447,9621 . The biggest common factor number is the GCF number.
So the greatest common factor 1447,9621 is 1.
Lets's calculate LCM of 401,835
Given numbers has no common factors except 1. So, there LCM is their product i.e 334835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/334835
Therefore, the GCF of Fractions 1447/401,9621/835 is 1/334835
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 401,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,835) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,835) x common factors =1 x 1 = 1
LCM(401,835) = ( 401 × 835 ) / 1
LCM(401,835) = 334835 / 1
LCM(401,835) = 334835
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 1447/401, 9621/835?
Answer: GCF of Numerators as per given numbers 1447/401, 9621/835 is
GCF of Numerators i.e. for 1447,9621 is 1
LCM of denominators i.e. for 401,835 is 334835.
Thus, GCF of Fractions is 1/334835.Finally, GCF of Fractions for 1447/401, 9621/835 is 1/334835.