Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1831/372,9101/565
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 1831,9101
Greatest Common Factor of Numerators i.e. GCF of 1831,9101 is 1 .
LCM of Denominators means LCM of 372,565 as per the given fractions.
LCM of 372,565 is 210180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1831,9101
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1831
List of positive integer factors of 1831 that divides 1831 without a remainder.
1,1831
Factors of 9101
List of positive integer factors of 9101 that divides 9101 without a remainder.
1,19,479,9101
Greatest Common Factor
We found the factors 1831,9101 . The biggest common factor number is the GCF number.
So the greatest common factor 1831,9101 is 1.
Lets's calculate LCM of 372,565
Given numbers has no common factors except 1. So, there LCM is their product i.e 210180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210180
Therefore, the GCF of Fractions 1831/372,9101/565 is 1/210180
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 372,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(372,565) x common factors =1 x 1 = 1
LCM(372,565) = ( 372 × 565 ) / 1
LCM(372,565) = 210180 / 1
LCM(372,565) = 210180
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 1831/372, 9101/565?
Answer: GCF of Numerators as per given numbers 1831/372, 9101/565 is
GCF of Numerators i.e. for 1831,9101 is 1
LCM of denominators i.e. for 372,565 is 210180.
Thus, GCF of Fractions is 1/210180.Finally, GCF of Fractions for 1831/372, 9101/565 is 1/210180.