Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5065/75,1588/508
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 5065,1588
Greatest Common Factor of Numerators i.e. GCF of 5065,1588 is 1 .
LCM of Denominators means LCM of 75,508 as per the given fractions.
LCM of 75,508 is 38100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5065,1588
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5065
List of positive integer factors of 5065 that divides 5065 without a remainder.
1,5,1013,5065
Factors of 1588
List of positive integer factors of 1588 that divides 1588 without a remainder.
1,2,4,397,794,1588
Greatest Common Factor
We found the factors 5065,1588 . The biggest common factor number is the GCF number.
So the greatest common factor 5065,1588 is 1.
Lets's calculate LCM of 75,508
Given numbers has no common factors except 1. So, there LCM is their product i.e 38100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38100
Therefore, the GCF of Fractions 5065/75,1588/508 is 1/38100
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 75,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,508) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,508) x common factors =1 x 1 = 1
LCM(75,508) = ( 75 × 508 ) / 1
LCM(75,508) = 38100 / 1
LCM(75,508) = 38100
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 5065/75, 1588/508?
Answer: GCF of Numerators as per given numbers 5065/75, 1588/508 is
GCF of Numerators i.e. for 5065,1588 is 1
LCM of denominators i.e. for 75,508 is 38100.
Thus, GCF of Fractions is 1/38100.Finally, GCF of Fractions for 5065/75, 1588/508 is 1/38100.