Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2593/580,1555/6374
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 2593,1555
Greatest Common Factor of Numerators i.e. GCF of 2593,1555 is 1 .
LCM of Denominators means LCM of 580,6374 as per the given fractions.
LCM of 580,6374 is 1848460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2593,1555
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2593
List of positive integer factors of 2593 that divides 2593 without a remainder.
1,2593
Factors of 1555
List of positive integer factors of 1555 that divides 1555 without a remainder.
1,5,311,1555
Greatest Common Factor
We found the factors 2593,1555 . The biggest common factor number is the GCF number.
So the greatest common factor 2593,1555 is 1.
Lets's calculate LCM of 580,6374
2 | 580, 6374 |
290, 3187 |
∴ So the LCM of the given numbers is 2 x 290 x 3187 = 1848460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1848460
Therefore, the GCF of Fractions 2593/580,1555/6374 is 1/1848460
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 580,6374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,6374) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(580,6374) x common factors =2 x 1 = 2
LCM(580,6374) = ( 580 × 6374 ) / 2
LCM(580,6374) = 3696920 / 2
LCM(580,6374) = 1848460
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 2593/580, 1555/6374?
Answer: GCF of Numerators as per given numbers 2593/580, 1555/6374 is
GCF of Numerators i.e. for 2593,1555 is 1
LCM of denominators i.e. for 580,6374 is 1848460.
Thus, GCF of Fractions is 1/1848460.Finally, GCF of Fractions for 2593/580, 1555/6374 is 1/1848460.