Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1785/979,8447/2247
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 1785,8447
Greatest Common Factor of Numerators i.e. GCF of 1785,8447 is 1 .
LCM of Denominators means LCM of 979,2247 as per the given fractions.
LCM of 979,2247 is 2199813 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1785,8447
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1785
List of positive integer factors of 1785 that divides 1785 without a remainder.
1,3,5,7,15,17,21,35,51,85,105,119,255,357,595,1785
Factors of 8447
List of positive integer factors of 8447 that divides 8447 without a remainder.
1,8447
Greatest Common Factor
We found the factors 1785,8447 . The biggest common factor number is the GCF number.
So the greatest common factor 1785,8447 is 1.
Lets's calculate LCM of 979,2247
Given numbers has no common factors except 1. So, there LCM is their product i.e 2199813
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2199813
Therefore, the GCF of Fractions 1785/979,8447/2247 is 1/2199813
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 979,2247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,2247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,2247) x common factors =1 x 1 = 1
LCM(979,2247) = ( 979 × 2247 ) / 1
LCM(979,2247) = 2199813 / 1
LCM(979,2247) = 2199813
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 1785/979, 8447/2247?
Answer: GCF of Numerators as per given numbers 1785/979, 8447/2247 is
GCF of Numerators i.e. for 1785,8447 is 1
LCM of denominators i.e. for 979,2247 is 2199813.
Thus, GCF of Fractions is 1/2199813.Finally, GCF of Fractions for 1785/979, 8447/2247 is 1/2199813.