Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3818/844,5005/3487
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 3818,5005
Greatest Common Factor of Numerators i.e. GCF of 3818,5005 is 1 .
LCM of Denominators means LCM of 844,3487 as per the given fractions.
LCM of 844,3487 is 2943028 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3818,5005
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3818
List of positive integer factors of 3818 that divides 3818 without a remainder.
1,2,23,46,83,166,1909,3818
Factors of 5005
List of positive integer factors of 5005 that divides 5005 without a remainder.
1,5,7,11,13,35,55,65,77,91,143,385,455,715,1001,5005
Greatest Common Factor
We found the factors 3818,5005 . The biggest common factor number is the GCF number.
So the greatest common factor 3818,5005 is 1.
Lets's calculate LCM of 844,3487
Given numbers has no common factors except 1. So, there LCM is their product i.e 2943028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2943028
Therefore, the GCF of Fractions 3818/844,5005/3487 is 1/2943028
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 844,3487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,3487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(844,3487) x common factors =1 x 1 = 1
LCM(844,3487) = ( 844 × 3487 ) / 1
LCM(844,3487) = 2943028 / 1
LCM(844,3487) = 2943028
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 3818/844, 5005/3487?
Answer: GCF of Numerators as per given numbers 3818/844, 5005/3487 is
GCF of Numerators i.e. for 3818,5005 is 1
LCM of denominators i.e. for 844,3487 is 2943028.
Thus, GCF of Fractions is 1/2943028.Finally, GCF of Fractions for 3818/844, 5005/3487 is 1/2943028.