Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6605/236,1258/6883
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 6605,1258
Greatest Common Factor of Numerators i.e. GCF of 6605,1258 is 1 .
LCM of Denominators means LCM of 236,6883 as per the given fractions.
LCM of 236,6883 is 1624388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6605,1258
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6605
List of positive integer factors of 6605 that divides 6605 without a remainder.
1,5,1321,6605
Factors of 1258
List of positive integer factors of 1258 that divides 1258 without a remainder.
1,2,17,34,37,74,629,1258
Greatest Common Factor
We found the factors 6605,1258 . The biggest common factor number is the GCF number.
So the greatest common factor 6605,1258 is 1.
Lets's calculate LCM of 236,6883
Given numbers has no common factors except 1. So, there LCM is their product i.e 1624388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1624388
Therefore, the GCF of Fractions 6605/236,1258/6883 is 1/1624388
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 236,6883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,6883) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(236,6883) x common factors =1 x 1 = 1
LCM(236,6883) = ( 236 × 6883 ) / 1
LCM(236,6883) = 1624388 / 1
LCM(236,6883) = 1624388
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 6605/236, 1258/6883?
Answer: GCF of Numerators as per given numbers 6605/236, 1258/6883 is
GCF of Numerators i.e. for 6605,1258 is 1
LCM of denominators i.e. for 236,6883 is 1624388.
Thus, GCF of Fractions is 1/1624388.Finally, GCF of Fractions for 6605/236, 1258/6883 is 1/1624388.