Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1799/719,1901/8093
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 1799,1901
Greatest Common Factor of Numerators i.e. GCF of 1799,1901 is 1 .
LCM of Denominators means LCM of 719,8093 as per the given fractions.
LCM of 719,8093 is 5818867 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1799,1901
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1799
List of positive integer factors of 1799 that divides 1799 without a remainder.
1,7,257,1799
Factors of 1901
List of positive integer factors of 1901 that divides 1901 without a remainder.
1,1901
Greatest Common Factor
We found the factors 1799,1901 . The biggest common factor number is the GCF number.
So the greatest common factor 1799,1901 is 1.
Lets's calculate LCM of 719,8093
Given numbers has no common factors except 1. So, there LCM is their product i.e 5818867
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5818867
Therefore, the GCF of Fractions 1799/719,1901/8093 is 1/5818867
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 719,8093 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,8093) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,8093) x common factors =1 x 1 = 1
LCM(719,8093) = ( 719 × 8093 ) / 1
LCM(719,8093) = 5818867 / 1
LCM(719,8093) = 5818867
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 1799/719, 1901/8093?
Answer: GCF of Numerators as per given numbers 1799/719, 1901/8093 is
GCF of Numerators i.e. for 1799,1901 is 1
LCM of denominators i.e. for 719,8093 is 5818867.
Thus, GCF of Fractions is 1/5818867.Finally, GCF of Fractions for 1799/719, 1901/8093 is 1/5818867.