Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 382/18,991/1727
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 382,991
Greatest Common Factor of Numerators i.e. GCF of 382,991 is 1 .
LCM of Denominators means LCM of 18,1727 as per the given fractions.
LCM of 18,1727 is 31086 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 382,991
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Greatest Common Factor
We found the factors 382,991 . The biggest common factor number is the GCF number.
So the greatest common factor 382,991 is 1.
Lets's calculate LCM of 18,1727
Given numbers has no common factors except 1. So, there LCM is their product i.e 31086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31086
Therefore, the GCF of Fractions 382/18,991/1727 is 1/31086
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 18,1727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,1727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,1727) x common factors =1 x 1 = 1
LCM(18,1727) = ( 18 × 1727 ) / 1
LCM(18,1727) = 31086 / 1
LCM(18,1727) = 31086
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 382/18, 991/1727?
Answer: GCF of Numerators as per given numbers 382/18, 991/1727 is
GCF of Numerators i.e. for 382,991 is 1
LCM of denominators i.e. for 18,1727 is 31086.
Thus, GCF of Fractions is 1/31086.Finally, GCF of Fractions for 382/18, 991/1727 is 1/31086.