Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6660/261,8791/5003
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 6660,8791
Greatest Common Factor of Numerators i.e. GCF of 6660,8791 is 1 .
LCM of Denominators means LCM of 261,5003 as per the given fractions.
LCM of 261,5003 is 1305783 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6660,8791
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6660
List of positive integer factors of 6660 that divides 6660 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,37,45,60,74,90,111,148,180,185,222,333,370,444,555,666,740,1110,1332,1665,2220,3330,6660
Factors of 8791
List of positive integer factors of 8791 that divides 8791 without a remainder.
1,59,149,8791
Greatest Common Factor
We found the factors 6660,8791 . The biggest common factor number is the GCF number.
So the greatest common factor 6660,8791 is 1.
Lets's calculate LCM of 261,5003
Given numbers has no common factors except 1. So, there LCM is their product i.e 1305783
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1305783
Therefore, the GCF of Fractions 6660/261,8791/5003 is 1/1305783
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 261,5003 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,5003) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(261,5003) x common factors =1 x 1 = 1
LCM(261,5003) = ( 261 × 5003 ) / 1
LCM(261,5003) = 1305783 / 1
LCM(261,5003) = 1305783
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 6660/261, 8791/5003?
Answer: GCF of Numerators as per given numbers 6660/261, 8791/5003 is
GCF of Numerators i.e. for 6660,8791 is 1
LCM of denominators i.e. for 261,5003 is 1305783.
Thus, GCF of Fractions is 1/1305783.Finally, GCF of Fractions for 6660/261, 8791/5003 is 1/1305783.