Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8489/592,3390/2415
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 8489,3390
Greatest Common Factor of Numerators i.e. GCF of 8489,3390 is 1 .
LCM of Denominators means LCM of 592,2415 as per the given fractions.
LCM of 592,2415 is 1429680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8489,3390
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8489
List of positive integer factors of 8489 that divides 8489 without a remainder.
1,13,653,8489
Factors of 3390
List of positive integer factors of 3390 that divides 3390 without a remainder.
1,2,3,5,6,10,15,30,113,226,339,565,678,1130,1695,3390
Greatest Common Factor
We found the factors 8489,3390 . The biggest common factor number is the GCF number.
So the greatest common factor 8489,3390 is 1.
Lets's calculate LCM of 592,2415
Given numbers has no common factors except 1. So, there LCM is their product i.e 1429680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1429680
Therefore, the GCF of Fractions 8489/592,3390/2415 is 1/1429680
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 592,2415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,2415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(592,2415) x common factors =1 x 1 = 1
LCM(592,2415) = ( 592 × 2415 ) / 1
LCM(592,2415) = 1429680 / 1
LCM(592,2415) = 1429680
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 8489/592, 3390/2415?
Answer: GCF of Numerators as per given numbers 8489/592, 3390/2415 is
GCF of Numerators i.e. for 8489,3390 is 1
LCM of denominators i.e. for 592,2415 is 1429680.
Thus, GCF of Fractions is 1/1429680.Finally, GCF of Fractions for 8489/592, 3390/2415 is 1/1429680.