Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6006/995,3611/7774
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 6006,3611
Greatest Common Factor of Numerators i.e. GCF of 6006,3611 is 1 .
LCM of Denominators means LCM of 995,7774 as per the given fractions.
LCM of 995,7774 is 7735130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6006,3611
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6006
List of positive integer factors of 6006 that divides 6006 without a remainder.
1,2,3,6,7,11,13,14,21,22,26,33,39,42,66,77,78,91,143,154,182,231,273,286,429,462,546,858,1001,2002,3003,6006
Factors of 3611
List of positive integer factors of 3611 that divides 3611 without a remainder.
1,23,157,3611
Greatest Common Factor
We found the factors 6006,3611 . The biggest common factor number is the GCF number.
So the greatest common factor 6006,3611 is 1.
Lets's calculate LCM of 995,7774
Given numbers has no common factors except 1. So, there LCM is their product i.e 7735130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7735130
Therefore, the GCF of Fractions 6006/995,3611/7774 is 1/7735130
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 995,7774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,7774) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,7774) x common factors =1 x 1 = 1
LCM(995,7774) = ( 995 × 7774 ) / 1
LCM(995,7774) = 7735130 / 1
LCM(995,7774) = 7735130
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 6006/995, 3611/7774?
Answer: GCF of Numerators as per given numbers 6006/995, 3611/7774 is
GCF of Numerators i.e. for 6006,3611 is 1
LCM of denominators i.e. for 995,7774 is 7735130.
Thus, GCF of Fractions is 1/7735130.Finally, GCF of Fractions for 6006/995, 3611/7774 is 1/7735130.