Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4626/475,4974/237
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 4626,4974
Greatest Common Factor of Numerators i.e. GCF of 4626,4974 is 6 .
LCM of Denominators means LCM of 475,237 as per the given fractions.
LCM of 475,237 is 112575 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4626,4974
2 | 4626, 4974 |
3 | 2313, 2487 |
771, 829 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 4626
List of positive integer factors of 4626 that divides 4626 without a remainder.
1,2,3,6,9,18,257,514,771,1542,2313,4626
Factors of 4974
List of positive integer factors of 4974 that divides 4974 without a remainder.
1,2,3,6,829,1658,2487,4974
Greatest Common Factor
We found the factors 4626,4974 . The biggest common factor number is the GCF number.
So the greatest common factor 4626,4974 is 6.
Lets's calculate LCM of 475,237
Given numbers has no common factors except 1. So, there LCM is their product i.e 112575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/112575
Therefore, the GCF of Fractions 4626/475,4974/237 is 6/112575
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 475,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(475,237) x common factors =1 x 1 = 1
LCM(475,237) = ( 475 × 237 ) / 1
LCM(475,237) = 112575 / 1
LCM(475,237) = 112575
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 4626/475, 4974/237?
Answer: GCF of Numerators as per given numbers 4626/475, 4974/237 is
GCF of Numerators i.e. for 4626,4974 is 6
LCM of denominators i.e. for 475,237 is 112575.
Thus, GCF of Fractions is 6/112575.Finally, GCF of Fractions for 4626/475, 4974/237 is 6/112575.