Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6665/180,1309/4507
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 6665,1309
Greatest Common Factor of Numerators i.e. GCF of 6665,1309 is 1 .
LCM of Denominators means LCM of 180,4507 as per the given fractions.
LCM of 180,4507 is 811260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6665,1309
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6665
List of positive integer factors of 6665 that divides 6665 without a remainder.
1,5,31,43,155,215,1333,6665
Factors of 1309
List of positive integer factors of 1309 that divides 1309 without a remainder.
1,7,11,17,77,119,187,1309
Greatest Common Factor
We found the factors 6665,1309 . The biggest common factor number is the GCF number.
So the greatest common factor 6665,1309 is 1.
Lets's calculate LCM of 180,4507
Given numbers has no common factors except 1. So, there LCM is their product i.e 811260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/811260
Therefore, the GCF of Fractions 6665/180,1309/4507 is 1/811260
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 180,4507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,4507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(180,4507) x common factors =1 x 1 = 1
LCM(180,4507) = ( 180 × 4507 ) / 1
LCM(180,4507) = 811260 / 1
LCM(180,4507) = 811260
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 6665/180, 1309/4507?
Answer: GCF of Numerators as per given numbers 6665/180, 1309/4507 is
GCF of Numerators i.e. for 6665,1309 is 1
LCM of denominators i.e. for 180,4507 is 811260.
Thus, GCF of Fractions is 1/811260.Finally, GCF of Fractions for 6665/180, 1309/4507 is 1/811260.