Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 987/311,3620/4000
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 987,3620
Greatest Common Factor of Numerators i.e. GCF of 987,3620 is 1 .
LCM of Denominators means LCM of 311,4000 as per the given fractions.
LCM of 311,4000 is 1244000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 987,3620
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1,3,7,21,47,141,329,987
Factors of 3620
List of positive integer factors of 3620 that divides 3620 without a remainder.
1,2,4,5,10,20,181,362,724,905,1810,3620
Greatest Common Factor
We found the factors 987,3620 . The biggest common factor number is the GCF number.
So the greatest common factor 987,3620 is 1.
Lets's calculate LCM of 311,4000
Given numbers has no common factors except 1. So, there LCM is their product i.e 1244000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1244000
Therefore, the GCF of Fractions 987/311,3620/4000 is 1/1244000
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 311,4000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,4000) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,4000) x common factors =1 x 1 = 1
LCM(311,4000) = ( 311 × 4000 ) / 1
LCM(311,4000) = 1244000 / 1
LCM(311,4000) = 1244000
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 987/311, 3620/4000?
Answer: GCF of Numerators as per given numbers 987/311, 3620/4000 is
GCF of Numerators i.e. for 987,3620 is 1
LCM of denominators i.e. for 311,4000 is 1244000.
Thus, GCF of Fractions is 1/1244000.Finally, GCF of Fractions for 987/311, 3620/4000 is 1/1244000.