Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4418/81,5010/420
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 4418,5010
Greatest Common Factor of Numerators i.e. GCF of 4418,5010 is 2 .
LCM of Denominators means LCM of 81,420 as per the given fractions.
LCM of 81,420 is 11340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4418,5010
2 | 4418, 5010 |
2209, 2505 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4418
List of positive integer factors of 4418 that divides 4418 without a remainder.
1,2,47,94,2209,4418
Factors of 5010
List of positive integer factors of 5010 that divides 5010 without a remainder.
1,2,3,5,6,10,15,30,167,334,501,835,1002,1670,2505,5010
Greatest Common Factor
We found the factors 4418,5010 . The biggest common factor number is the GCF number.
So the greatest common factor 4418,5010 is 2.
Lets's calculate LCM of 81,420
3 | 81, 420 |
27, 140 |
∴ So the LCM of the given numbers is 3 x 27 x 140 = 11340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11340
Therefore, the GCF of Fractions 4418/81,5010/420 is 2/11340
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 81,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,420) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(81,420) x common factors =3 x 1 = 3
LCM(81,420) = ( 81 × 420 ) / 3
LCM(81,420) = 34020 / 3
LCM(81,420) = 11340
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 4418/81, 5010/420?
Answer: GCF of Numerators as per given numbers 4418/81, 5010/420 is
GCF of Numerators i.e. for 4418,5010 is 2
LCM of denominators i.e. for 81,420 is 11340.
Thus, GCF of Fractions is 2/11340.Finally, GCF of Fractions for 4418/81, 5010/420 is 2/11340.