Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/933,2855/7330
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 18,2855
Greatest Common Factor of Numerators i.e. GCF of 18,2855 is 1 .
LCM of Denominators means LCM of 933,7330 as per the given fractions.
LCM of 933,7330 is 6838890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 18,2855
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 2855
List of positive integer factors of 2855 that divides 2855 without a remainder.
1,5,571,2855
Greatest Common Factor
We found the factors 18,2855 . The biggest common factor number is the GCF number.
So the greatest common factor 18,2855 is 1.
Lets's calculate LCM of 933,7330
Given numbers has no common factors except 1. So, there LCM is their product i.e 6838890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6838890
Therefore, the GCF of Fractions 18/933,2855/7330 is 1/6838890
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 933,7330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,7330) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,7330) x common factors =1 x 1 = 1
LCM(933,7330) = ( 933 × 7330 ) / 1
LCM(933,7330) = 6838890 / 1
LCM(933,7330) = 6838890
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 18/933, 2855/7330?
Answer: GCF of Numerators as per given numbers 18/933, 2855/7330 is
GCF of Numerators i.e. for 18,2855 is 1
LCM of denominators i.e. for 933,7330 is 6838890.
Thus, GCF of Fractions is 1/6838890.Finally, GCF of Fractions for 18/933, 2855/7330 is 1/6838890.