Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5945/16,8054/107
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 5945,8054
Greatest Common Factor of Numerators i.e. GCF of 5945,8054 is 1 .
LCM of Denominators means LCM of 16,107 as per the given fractions.
LCM of 16,107 is 1712 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5945,8054
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5945
List of positive integer factors of 5945 that divides 5945 without a remainder.
1,5,29,41,145,205,1189,5945
Factors of 8054
List of positive integer factors of 8054 that divides 8054 without a remainder.
1,2,4027,8054
Greatest Common Factor
We found the factors 5945,8054 . The biggest common factor number is the GCF number.
So the greatest common factor 5945,8054 is 1.
Lets's calculate LCM of 16,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 1712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1712
Therefore, the GCF of Fractions 5945/16,8054/107 is 1/1712
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 16,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,107) x common factors =1 x 1 = 1
LCM(16,107) = ( 16 × 107 ) / 1
LCM(16,107) = 1712 / 1
LCM(16,107) = 1712
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 5945/16, 8054/107?
Answer: GCF of Numerators as per given numbers 5945/16, 8054/107 is
GCF of Numerators i.e. for 5945,8054 is 1
LCM of denominators i.e. for 16,107 is 1712.
Thus, GCF of Fractions is 1/1712.Finally, GCF of Fractions for 5945/16, 8054/107 is 1/1712.