Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8776/439,8435/2794
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 8776,8435
Greatest Common Factor of Numerators i.e. GCF of 8776,8435 is 1 .
LCM of Denominators means LCM of 439,2794 as per the given fractions.
LCM of 439,2794 is 1226566 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8776,8435
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8776
List of positive integer factors of 8776 that divides 8776 without a remainder.
1,2,4,8,1097,2194,4388,8776
Factors of 8435
List of positive integer factors of 8435 that divides 8435 without a remainder.
1,5,7,35,241,1205,1687,8435
Greatest Common Factor
We found the factors 8776,8435 . The biggest common factor number is the GCF number.
So the greatest common factor 8776,8435 is 1.
Lets's calculate LCM of 439,2794
Given numbers has no common factors except 1. So, there LCM is their product i.e 1226566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1226566
Therefore, the GCF of Fractions 8776/439,8435/2794 is 1/1226566
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 439,2794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(439,2794) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(439,2794) x common factors =1 x 1 = 1
LCM(439,2794) = ( 439 × 2794 ) / 1
LCM(439,2794) = 1226566 / 1
LCM(439,2794) = 1226566
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 8776/439, 8435/2794?
Answer: GCF of Numerators as per given numbers 8776/439, 8435/2794 is
GCF of Numerators i.e. for 8776,8435 is 1
LCM of denominators i.e. for 439,2794 is 1226566.
Thus, GCF of Fractions is 1/1226566.Finally, GCF of Fractions for 8776/439, 8435/2794 is 1/1226566.