Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8839/605,3372/883
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 8839,3372
Greatest Common Factor of Numerators i.e. GCF of 8839,3372 is 1 .
LCM of Denominators means LCM of 605,883 as per the given fractions.
LCM of 605,883 is 534215 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8839,3372
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8839
List of positive integer factors of 8839 that divides 8839 without a remainder.
1,8839
Factors of 3372
List of positive integer factors of 3372 that divides 3372 without a remainder.
1,2,3,4,6,12,281,562,843,1124,1686,3372
Greatest Common Factor
We found the factors 8839,3372 . The biggest common factor number is the GCF number.
So the greatest common factor 8839,3372 is 1.
Lets's calculate LCM of 605,883
Given numbers has no common factors except 1. So, there LCM is their product i.e 534215
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/534215
Therefore, the GCF of Fractions 8839/605,3372/883 is 1/534215
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 605,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,883) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,883) x common factors =1 x 1 = 1
LCM(605,883) = ( 605 × 883 ) / 1
LCM(605,883) = 534215 / 1
LCM(605,883) = 534215
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 8839/605, 3372/883?
Answer: GCF of Numerators as per given numbers 8839/605, 3372/883 is
GCF of Numerators i.e. for 8839,3372 is 1
LCM of denominators i.e. for 605,883 is 534215.
Thus, GCF of Fractions is 1/534215.Finally, GCF of Fractions for 8839/605, 3372/883 is 1/534215.