Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 124/87,558/4209
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 124,558
Greatest Common Factor of Numerators i.e. GCF of 124,558 is 62 .
LCM of Denominators means LCM of 87,4209 as per the given fractions.
LCM of 87,4209 is 122061 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 124,558
2 | 124, 558 |
31 | 62, 279 |
2, 9 |
∴ So the GCF of the given numbers is 2 x 31 = 62
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1,2,3,6,9,18,31,62,93,186,279,558
Greatest Common Factor
We found the factors 124,558 . The biggest common factor number is the GCF number.
So the greatest common factor 124,558 is 62.
Lets's calculate LCM of 87,4209
3 | 87, 4209 |
29, 1403 |
∴ So the LCM of the given numbers is 3 x 29 x 1403 = 122061
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 62/122061
Therefore, the GCF of Fractions 124/87,558/4209 is 62/122061
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 87,4209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,4209) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(87,4209) x common factors =3 x 1 = 3
LCM(87,4209) = ( 87 × 4209 ) / 3
LCM(87,4209) = 366183 / 3
LCM(87,4209) = 122061
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 124/87, 558/4209?
Answer: GCF of Numerators as per given numbers 124/87, 558/4209 is
GCF of Numerators i.e. for 124,558 is 62
LCM of denominators i.e. for 87,4209 is 122061.
Thus, GCF of Fractions is 62/122061.Finally, GCF of Fractions for 124/87, 558/4209 is 62/122061.