Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8773/307,3544/8734
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 8773,3544
Greatest Common Factor of Numerators i.e. GCF of 8773,3544 is 1 .
LCM of Denominators means LCM of 307,8734 as per the given fractions.
LCM of 307,8734 is 2681338 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8773,3544
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8773
List of positive integer factors of 8773 that divides 8773 without a remainder.
1,31,283,8773
Factors of 3544
List of positive integer factors of 3544 that divides 3544 without a remainder.
1,2,4,8,443,886,1772,3544
Greatest Common Factor
We found the factors 8773,3544 . The biggest common factor number is the GCF number.
So the greatest common factor 8773,3544 is 1.
Lets's calculate LCM of 307,8734
Given numbers has no common factors except 1. So, there LCM is their product i.e 2681338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2681338
Therefore, the GCF of Fractions 8773/307,3544/8734 is 1/2681338
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 307,8734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,8734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,8734) x common factors =1 x 1 = 1
LCM(307,8734) = ( 307 × 8734 ) / 1
LCM(307,8734) = 2681338 / 1
LCM(307,8734) = 2681338
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 8773/307, 3544/8734?
Answer: GCF of Numerators as per given numbers 8773/307, 3544/8734 is
GCF of Numerators i.e. for 8773,3544 is 1
LCM of denominators i.e. for 307,8734 is 2681338.
Thus, GCF of Fractions is 1/2681338.Finally, GCF of Fractions for 8773/307, 3544/8734 is 1/2681338.