Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6030/248,4377/2594
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 6030,4377
Greatest Common Factor of Numerators i.e. GCF of 6030,4377 is 3 .
LCM of Denominators means LCM of 248,2594 as per the given fractions.
LCM of 248,2594 is 321656 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6030,4377
3 | 6030, 4377 |
2010, 1459 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6030
List of positive integer factors of 6030 that divides 6030 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,67,90,134,201,335,402,603,670,1005,1206,2010,3015,6030
Factors of 4377
List of positive integer factors of 4377 that divides 4377 without a remainder.
1,3,1459,4377
Greatest Common Factor
We found the factors 6030,4377 . The biggest common factor number is the GCF number.
So the greatest common factor 6030,4377 is 3.
Lets's calculate LCM of 248,2594
2 | 248, 2594 |
124, 1297 |
∴ So the LCM of the given numbers is 2 x 124 x 1297 = 321656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/321656
Therefore, the GCF of Fractions 6030/248,4377/2594 is 3/321656
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 248,2594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,2594) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(248,2594) x common factors =2 x 1 = 2
LCM(248,2594) = ( 248 × 2594 ) / 2
LCM(248,2594) = 643312 / 2
LCM(248,2594) = 321656
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 6030/248, 4377/2594?
Answer: GCF of Numerators as per given numbers 6030/248, 4377/2594 is
GCF of Numerators i.e. for 6030,4377 is 3
LCM of denominators i.e. for 248,2594 is 321656.
Thus, GCF of Fractions is 3/321656.Finally, GCF of Fractions for 6030/248, 4377/2594 is 3/321656.