Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4120/450,5188/398
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 4120,5188
Greatest Common Factor of Numerators i.e. GCF of 4120,5188 is 4 .
LCM of Denominators means LCM of 450,398 as per the given fractions.
LCM of 450,398 is 89550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4120,5188
2 | 4120, 5188 |
2 | 2060, 2594 |
1030, 1297 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 4120
List of positive integer factors of 4120 that divides 4120 without a remainder.
1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120
Factors of 5188
List of positive integer factors of 5188 that divides 5188 without a remainder.
1,2,4,1297,2594,5188
Greatest Common Factor
We found the factors 4120,5188 . The biggest common factor number is the GCF number.
So the greatest common factor 4120,5188 is 4.
Lets's calculate LCM of 450,398
2 | 450, 398 |
225, 199 |
∴ So the LCM of the given numbers is 2 x 225 x 199 = 89550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/89550
Therefore, the GCF of Fractions 4120/450,5188/398 is 4/89550
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 450,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,398) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(450,398) x common factors =2 x 1 = 2
LCM(450,398) = ( 450 × 398 ) / 2
LCM(450,398) = 179100 / 2
LCM(450,398) = 89550
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 4120/450, 5188/398?
Answer: GCF of Numerators as per given numbers 4120/450, 5188/398 is
GCF of Numerators i.e. for 4120,5188 is 4
LCM of denominators i.e. for 450,398 is 89550.
Thus, GCF of Fractions is 4/89550.Finally, GCF of Fractions for 4120/450, 5188/398 is 4/89550.