Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1595/794,8786/8031
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 1595,8786
Greatest Common Factor of Numerators i.e. GCF of 1595,8786 is 1 .
LCM of Denominators means LCM of 794,8031 as per the given fractions.
LCM of 794,8031 is 6376614 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1595,8786
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1595
List of positive integer factors of 1595 that divides 1595 without a remainder.
1,5,11,29,55,145,319,1595
Factors of 8786
List of positive integer factors of 8786 that divides 8786 without a remainder.
1,2,23,46,191,382,4393,8786
Greatest Common Factor
We found the factors 1595,8786 . The biggest common factor number is the GCF number.
So the greatest common factor 1595,8786 is 1.
Lets's calculate LCM of 794,8031
Given numbers has no common factors except 1. So, there LCM is their product i.e 6376614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6376614
Therefore, the GCF of Fractions 1595/794,8786/8031 is 1/6376614
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 794,8031 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(794,8031) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(794,8031) x common factors =1 x 1 = 1
LCM(794,8031) = ( 794 × 8031 ) / 1
LCM(794,8031) = 6376614 / 1
LCM(794,8031) = 6376614
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 1595/794, 8786/8031?
Answer: GCF of Numerators as per given numbers 1595/794, 8786/8031 is
GCF of Numerators i.e. for 1595,8786 is 1
LCM of denominators i.e. for 794,8031 is 6376614.
Thus, GCF of Fractions is 1/6376614.Finally, GCF of Fractions for 1595/794, 8786/8031 is 1/6376614.