Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 810/361,4010/2387
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 810,4010
Greatest Common Factor of Numerators i.e. GCF of 810,4010 is 10 .
LCM of Denominators means LCM of 361,2387 as per the given fractions.
LCM of 361,2387 is 861707 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 810,4010
2 | 810, 4010 |
5 | 405, 2005 |
81, 401 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Factors of 4010
List of positive integer factors of 4010 that divides 4010 without a remainder.
1,2,5,10,401,802,2005,4010
Greatest Common Factor
We found the factors 810,4010 . The biggest common factor number is the GCF number.
So the greatest common factor 810,4010 is 10.
Lets's calculate LCM of 361,2387
Given numbers has no common factors except 1. So, there LCM is their product i.e 861707
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/861707
Therefore, the GCF of Fractions 810/361,4010/2387 is 10/861707
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 361,2387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,2387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,2387) x common factors =1 x 1 = 1
LCM(361,2387) = ( 361 × 2387 ) / 1
LCM(361,2387) = 861707 / 1
LCM(361,2387) = 861707
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 810/361, 4010/2387?
Answer: GCF of Numerators as per given numbers 810/361, 4010/2387 is
GCF of Numerators i.e. for 810,4010 is 10
LCM of denominators i.e. for 361,2387 is 861707.
Thus, GCF of Fractions is 10/861707.Finally, GCF of Fractions for 810/361, 4010/2387 is 10/861707.