Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7133/436,1438/5544
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 7133,1438
Greatest Common Factor of Numerators i.e. GCF of 7133,1438 is 1 .
LCM of Denominators means LCM of 436,5544 as per the given fractions.
LCM of 436,5544 is 604296 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7133,1438
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7133
List of positive integer factors of 7133 that divides 7133 without a remainder.
1,7,1019,7133
Factors of 1438
List of positive integer factors of 1438 that divides 1438 without a remainder.
1,2,719,1438
Greatest Common Factor
We found the factors 7133,1438 . The biggest common factor number is the GCF number.
So the greatest common factor 7133,1438 is 1.
Lets's calculate LCM of 436,5544
2 | 436, 5544 |
2 | 218, 2772 |
109, 1386 |
∴ So the LCM of the given numbers is 2 x 2 x 109 x 1386 = 604296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/604296
Therefore, the GCF of Fractions 7133/436,1438/5544 is 1/604296
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 436,5544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,5544) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(436,5544) x common factors =4 x 1 = 4
LCM(436,5544) = ( 436 × 5544 ) / 4
LCM(436,5544) = 2417184 / 4
LCM(436,5544) = 604296
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 7133/436, 1438/5544?
Answer: GCF of Numerators as per given numbers 7133/436, 1438/5544 is
GCF of Numerators i.e. for 7133,1438 is 1
LCM of denominators i.e. for 436,5544 is 604296.
Thus, GCF of Fractions is 1/604296.Finally, GCF of Fractions for 7133/436, 1438/5544 is 1/604296.