Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9174/389,8783/8342
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 9174,8783
Greatest Common Factor of Numerators i.e. GCF of 9174,8783 is 1 .
LCM of Denominators means LCM of 389,8342 as per the given fractions.
LCM of 389,8342 is 3245038 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9174,8783
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9174
List of positive integer factors of 9174 that divides 9174 without a remainder.
1,2,3,6,11,22,33,66,139,278,417,834,1529,3058,4587,9174
Factors of 8783
List of positive integer factors of 8783 that divides 8783 without a remainder.
1,8783
Greatest Common Factor
We found the factors 9174,8783 . The biggest common factor number is the GCF number.
So the greatest common factor 9174,8783 is 1.
Lets's calculate LCM of 389,8342
Given numbers has no common factors except 1. So, there LCM is their product i.e 3245038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3245038
Therefore, the GCF of Fractions 9174/389,8783/8342 is 1/3245038
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 389,8342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,8342) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,8342) x common factors =1 x 1 = 1
LCM(389,8342) = ( 389 × 8342 ) / 1
LCM(389,8342) = 3245038 / 1
LCM(389,8342) = 3245038
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 9174/389, 8783/8342?
Answer: GCF of Numerators as per given numbers 9174/389, 8783/8342 is
GCF of Numerators i.e. for 9174,8783 is 1
LCM of denominators i.e. for 389,8342 is 3245038.
Thus, GCF of Fractions is 1/3245038.Finally, GCF of Fractions for 9174/389, 8783/8342 is 1/3245038.