Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 213/626,4189/500
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 213,4189
Greatest Common Factor of Numerators i.e. GCF of 213,4189 is 71 .
LCM of Denominators means LCM of 626,500 as per the given fractions.
LCM of 626,500 is 156500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 213,4189
71 | 213, 4189 |
3, 59 |
∴ So the GCF of the given numbers is 71 = 71
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Factors of 4189
List of positive integer factors of 4189 that divides 4189 without a remainder.
1,59,71,4189
Greatest Common Factor
We found the factors 213,4189 . The biggest common factor number is the GCF number.
So the greatest common factor 213,4189 is 71.
Lets's calculate LCM of 626,500
2 | 626, 500 |
313, 250 |
∴ So the LCM of the given numbers is 2 x 313 x 250 = 156500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 71/156500
Therefore, the GCF of Fractions 213/626,4189/500 is 71/156500
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 626,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,500) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(626,500) x common factors =2 x 1 = 2
LCM(626,500) = ( 626 × 500 ) / 2
LCM(626,500) = 313000 / 2
LCM(626,500) = 156500
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 213/626, 4189/500?
Answer: GCF of Numerators as per given numbers 213/626, 4189/500 is
GCF of Numerators i.e. for 213,4189 is 71
LCM of denominators i.e. for 626,500 is 156500.
Thus, GCF of Fractions is 71/156500.Finally, GCF of Fractions for 213/626, 4189/500 is 71/156500.