Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1018/950,1793/9379
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 1018,1793
Greatest Common Factor of Numerators i.e. GCF of 1018,1793 is 1 .
LCM of Denominators means LCM of 950,9379 as per the given fractions.
LCM of 950,9379 is 8910050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1018,1793
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1018
List of positive integer factors of 1018 that divides 1018 without a remainder.
1,2,509,1018
Factors of 1793
List of positive integer factors of 1793 that divides 1793 without a remainder.
1,11,163,1793
Greatest Common Factor
We found the factors 1018,1793 . The biggest common factor number is the GCF number.
So the greatest common factor 1018,1793 is 1.
Lets's calculate LCM of 950,9379
Given numbers has no common factors except 1. So, there LCM is their product i.e 8910050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8910050
Therefore, the GCF of Fractions 1018/950,1793/9379 is 1/8910050
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 950,9379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,9379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(950,9379) x common factors =1 x 1 = 1
LCM(950,9379) = ( 950 × 9379 ) / 1
LCM(950,9379) = 8910050 / 1
LCM(950,9379) = 8910050
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 1018/950, 1793/9379?
Answer: GCF of Numerators as per given numbers 1018/950, 1793/9379 is
GCF of Numerators i.e. for 1018,1793 is 1
LCM of denominators i.e. for 950,9379 is 8910050.
Thus, GCF of Fractions is 1/8910050.Finally, GCF of Fractions for 1018/950, 1793/9379 is 1/8910050.