Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9587/481,7090/5394
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 9587,7090
Greatest Common Factor of Numerators i.e. GCF of 9587,7090 is 1 .
LCM of Denominators means LCM of 481,5394 as per the given fractions.
LCM of 481,5394 is 2594514 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9587,7090
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9587
List of positive integer factors of 9587 that divides 9587 without a remainder.
1,9587
Factors of 7090
List of positive integer factors of 7090 that divides 7090 without a remainder.
1,2,5,10,709,1418,3545,7090
Greatest Common Factor
We found the factors 9587,7090 . The biggest common factor number is the GCF number.
So the greatest common factor 9587,7090 is 1.
Lets's calculate LCM of 481,5394
Given numbers has no common factors except 1. So, there LCM is their product i.e 2594514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2594514
Therefore, the GCF of Fractions 9587/481,7090/5394 is 1/2594514
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 481,5394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,5394) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(481,5394) x common factors =1 x 1 = 1
LCM(481,5394) = ( 481 × 5394 ) / 1
LCM(481,5394) = 2594514 / 1
LCM(481,5394) = 2594514
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 9587/481, 7090/5394?
Answer: GCF of Numerators as per given numbers 9587/481, 7090/5394 is
GCF of Numerators i.e. for 9587,7090 is 1
LCM of denominators i.e. for 481,5394 is 2594514.
Thus, GCF of Fractions is 1/2594514.Finally, GCF of Fractions for 9587/481, 7090/5394 is 1/2594514.