Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2607/40,8341/773
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 2607,8341
Greatest Common Factor of Numerators i.e. GCF of 2607,8341 is 1 .
LCM of Denominators means LCM of 40,773 as per the given fractions.
LCM of 40,773 is 30920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2607,8341
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2607
List of positive integer factors of 2607 that divides 2607 without a remainder.
1,3,11,33,79,237,869,2607
Factors of 8341
List of positive integer factors of 8341 that divides 8341 without a remainder.
1,19,439,8341
Greatest Common Factor
We found the factors 2607,8341 . The biggest common factor number is the GCF number.
So the greatest common factor 2607,8341 is 1.
Lets's calculate LCM of 40,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 30920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30920
Therefore, the GCF of Fractions 2607/40,8341/773 is 1/30920
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 40,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,773) x common factors =1 x 1 = 1
LCM(40,773) = ( 40 × 773 ) / 1
LCM(40,773) = 30920 / 1
LCM(40,773) = 30920
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 2607/40, 8341/773?
Answer: GCF of Numerators as per given numbers 2607/40, 8341/773 is
GCF of Numerators i.e. for 2607,8341 is 1
LCM of denominators i.e. for 40,773 is 30920.
Thus, GCF of Fractions is 1/30920.Finally, GCF of Fractions for 2607/40, 8341/773 is 1/30920.