Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5398/70,5181/587
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 5398,5181
Greatest Common Factor of Numerators i.e. GCF of 5398,5181 is 1 .
LCM of Denominators means LCM of 70,587 as per the given fractions.
LCM of 70,587 is 41090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5398,5181
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5398
List of positive integer factors of 5398 that divides 5398 without a remainder.
1,2,2699,5398
Factors of 5181
List of positive integer factors of 5181 that divides 5181 without a remainder.
1,3,11,33,157,471,1727,5181
Greatest Common Factor
We found the factors 5398,5181 . The biggest common factor number is the GCF number.
So the greatest common factor 5398,5181 is 1.
Lets's calculate LCM of 70,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 41090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41090
Therefore, the GCF of Fractions 5398/70,5181/587 is 1/41090
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 70,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,587) x common factors =1 x 1 = 1
LCM(70,587) = ( 70 × 587 ) / 1
LCM(70,587) = 41090 / 1
LCM(70,587) = 41090
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 5398/70, 5181/587?
Answer: GCF of Numerators as per given numbers 5398/70, 5181/587 is
GCF of Numerators i.e. for 5398,5181 is 1
LCM of denominators i.e. for 70,587 is 41090.
Thus, GCF of Fractions is 1/41090.Finally, GCF of Fractions for 5398/70, 5181/587 is 1/41090.