Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8558/861,6297/188
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 8558,6297
Greatest Common Factor of Numerators i.e. GCF of 8558,6297 is 1 .
LCM of Denominators means LCM of 861,188 as per the given fractions.
LCM of 861,188 is 161868 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8558,6297
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8558
List of positive integer factors of 8558 that divides 8558 without a remainder.
1,2,11,22,389,778,4279,8558
Factors of 6297
List of positive integer factors of 6297 that divides 6297 without a remainder.
1,3,2099,6297
Greatest Common Factor
We found the factors 8558,6297 . The biggest common factor number is the GCF number.
So the greatest common factor 8558,6297 is 1.
Lets's calculate LCM of 861,188
Given numbers has no common factors except 1. So, there LCM is their product i.e 161868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161868
Therefore, the GCF of Fractions 8558/861,6297/188 is 1/161868
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 861,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,188) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(861,188) x common factors =1 x 1 = 1
LCM(861,188) = ( 861 × 188 ) / 1
LCM(861,188) = 161868 / 1
LCM(861,188) = 161868
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 8558/861, 6297/188?
Answer: GCF of Numerators as per given numbers 8558/861, 6297/188 is
GCF of Numerators i.e. for 8558,6297 is 1
LCM of denominators i.e. for 861,188 is 161868.
Thus, GCF of Fractions is 1/161868.Finally, GCF of Fractions for 8558/861, 6297/188 is 1/161868.