Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8831/59,8026/795
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 8831,8026
Greatest Common Factor of Numerators i.e. GCF of 8831,8026 is 1 .
LCM of Denominators means LCM of 59,795 as per the given fractions.
LCM of 59,795 is 46905 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8831,8026
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8831
List of positive integer factors of 8831 that divides 8831 without a remainder.
1,8831
Factors of 8026
List of positive integer factors of 8026 that divides 8026 without a remainder.
1,2,4013,8026
Greatest Common Factor
We found the factors 8831,8026 . The biggest common factor number is the GCF number.
So the greatest common factor 8831,8026 is 1.
Lets's calculate LCM of 59,795
Given numbers has no common factors except 1. So, there LCM is their product i.e 46905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46905
Therefore, the GCF of Fractions 8831/59,8026/795 is 1/46905
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 59,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,795) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,795) x common factors =1 x 1 = 1
LCM(59,795) = ( 59 × 795 ) / 1
LCM(59,795) = 46905 / 1
LCM(59,795) = 46905
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 8831/59, 8026/795?
Answer: GCF of Numerators as per given numbers 8831/59, 8026/795 is
GCF of Numerators i.e. for 8831,8026 is 1
LCM of denominators i.e. for 59,795 is 46905.
Thus, GCF of Fractions is 1/46905.Finally, GCF of Fractions for 8831/59, 8026/795 is 1/46905.