Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9959/460,8486/2387
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 9959,8486
Greatest Common Factor of Numerators i.e. GCF of 9959,8486 is 1 .
LCM of Denominators means LCM of 460,2387 as per the given fractions.
LCM of 460,2387 is 1098020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9959,8486
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9959
List of positive integer factors of 9959 that divides 9959 without a remainder.
1,23,433,9959
Factors of 8486
List of positive integer factors of 8486 that divides 8486 without a remainder.
1,2,4243,8486
Greatest Common Factor
We found the factors 9959,8486 . The biggest common factor number is the GCF number.
So the greatest common factor 9959,8486 is 1.
Lets's calculate LCM of 460,2387
Given numbers has no common factors except 1. So, there LCM is their product i.e 1098020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1098020
Therefore, the GCF of Fractions 9959/460,8486/2387 is 1/1098020
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 460,2387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,2387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(460,2387) x common factors =1 x 1 = 1
LCM(460,2387) = ( 460 × 2387 ) / 1
LCM(460,2387) = 1098020 / 1
LCM(460,2387) = 1098020
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 9959/460, 8486/2387?
Answer: GCF of Numerators as per given numbers 9959/460, 8486/2387 is
GCF of Numerators i.e. for 9959,8486 is 1
LCM of denominators i.e. for 460,2387 is 1098020.
Thus, GCF of Fractions is 1/1098020.Finally, GCF of Fractions for 9959/460, 8486/2387 is 1/1098020.