Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3065/234,3635/5623
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 3065,3635
Greatest Common Factor of Numerators i.e. GCF of 3065,3635 is 5 .
LCM of Denominators means LCM of 234,5623 as per the given fractions.
LCM of 234,5623 is 1315782 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3065,3635
5 | 3065, 3635 |
613, 727 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 3065
List of positive integer factors of 3065 that divides 3065 without a remainder.
1,5,613,3065
Factors of 3635
List of positive integer factors of 3635 that divides 3635 without a remainder.
1,5,727,3635
Greatest Common Factor
We found the factors 3065,3635 . The biggest common factor number is the GCF number.
So the greatest common factor 3065,3635 is 5.
Lets's calculate LCM of 234,5623
Given numbers has no common factors except 1. So, there LCM is their product i.e 1315782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1315782
Therefore, the GCF of Fractions 3065/234,3635/5623 is 5/1315782
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 234,5623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,5623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(234,5623) x common factors =1 x 1 = 1
LCM(234,5623) = ( 234 × 5623 ) / 1
LCM(234,5623) = 1315782 / 1
LCM(234,5623) = 1315782
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 3065/234, 3635/5623?
Answer: GCF of Numerators as per given numbers 3065/234, 3635/5623 is
GCF of Numerators i.e. for 3065,3635 is 5
LCM of denominators i.e. for 234,5623 is 1315782.
Thus, GCF of Fractions is 5/1315782.Finally, GCF of Fractions for 3065/234, 3635/5623 is 5/1315782.