Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4187/363,2007/6182
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 4187,2007
Greatest Common Factor of Numerators i.e. GCF of 4187,2007 is 1 .
LCM of Denominators means LCM of 363,6182 as per the given fractions.
LCM of 363,6182 is 204006 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4187,2007
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4187
List of positive integer factors of 4187 that divides 4187 without a remainder.
1,53,79,4187
Factors of 2007
List of positive integer factors of 2007 that divides 2007 without a remainder.
1,3,9,223,669,2007
Greatest Common Factor
We found the factors 4187,2007 . The biggest common factor number is the GCF number.
So the greatest common factor 4187,2007 is 1.
Lets's calculate LCM of 363,6182
11 | 363, 6182 |
33, 562 |
∴ So the LCM of the given numbers is 11 x 33 x 562 = 204006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204006
Therefore, the GCF of Fractions 4187/363,2007/6182 is 1/204006
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 363,6182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,6182) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(363,6182) x common factors =11 x 1 = 11
LCM(363,6182) = ( 363 × 6182 ) / 11
LCM(363,6182) = 2244066 / 11
LCM(363,6182) = 204006
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 4187/363, 2007/6182?
Answer: GCF of Numerators as per given numbers 4187/363, 2007/6182 is
GCF of Numerators i.e. for 4187,2007 is 1
LCM of denominators i.e. for 363,6182 is 204006.
Thus, GCF of Fractions is 1/204006.Finally, GCF of Fractions for 4187/363, 2007/6182 is 1/204006.