Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9886/519,7689/9053
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 9886,7689
Greatest Common Factor of Numerators i.e. GCF of 9886,7689 is 1 .
LCM of Denominators means LCM of 519,9053 as per the given fractions.
LCM of 519,9053 is 4698507 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9886,7689
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9886
List of positive integer factors of 9886 that divides 9886 without a remainder.
1,2,4943,9886
Factors of 7689
List of positive integer factors of 7689 that divides 7689 without a remainder.
1,3,11,33,233,699,2563,7689
Greatest Common Factor
We found the factors 9886,7689 . The biggest common factor number is the GCF number.
So the greatest common factor 9886,7689 is 1.
Lets's calculate LCM of 519,9053
Given numbers has no common factors except 1. So, there LCM is their product i.e 4698507
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4698507
Therefore, the GCF of Fractions 9886/519,7689/9053 is 1/4698507
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 519,9053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,9053) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(519,9053) x common factors =1 x 1 = 1
LCM(519,9053) = ( 519 × 9053 ) / 1
LCM(519,9053) = 4698507 / 1
LCM(519,9053) = 4698507
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 9886/519, 7689/9053?
Answer: GCF of Numerators as per given numbers 9886/519, 7689/9053 is
GCF of Numerators i.e. for 9886,7689 is 1
LCM of denominators i.e. for 519,9053 is 4698507.
Thus, GCF of Fractions is 1/4698507.Finally, GCF of Fractions for 9886/519, 7689/9053 is 1/4698507.