Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4939/201,4460/8130
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 4939,4460
Greatest Common Factor of Numerators i.e. GCF of 4939,4460 is 1 .
LCM of Denominators means LCM of 201,8130 as per the given fractions.
LCM of 201,8130 is 544710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4939,4460
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4939
List of positive integer factors of 4939 that divides 4939 without a remainder.
1,11,449,4939
Factors of 4460
List of positive integer factors of 4460 that divides 4460 without a remainder.
1,2,4,5,10,20,223,446,892,1115,2230,4460
Greatest Common Factor
We found the factors 4939,4460 . The biggest common factor number is the GCF number.
So the greatest common factor 4939,4460 is 1.
Lets's calculate LCM of 201,8130
3 | 201, 8130 |
67, 2710 |
∴ So the LCM of the given numbers is 3 x 67 x 2710 = 544710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/544710
Therefore, the GCF of Fractions 4939/201,4460/8130 is 1/544710
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 201,8130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,8130) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(201,8130) x common factors =3 x 1 = 3
LCM(201,8130) = ( 201 × 8130 ) / 3
LCM(201,8130) = 1634130 / 3
LCM(201,8130) = 544710
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 4939/201, 4460/8130?
Answer: GCF of Numerators as per given numbers 4939/201, 4460/8130 is
GCF of Numerators i.e. for 4939,4460 is 1
LCM of denominators i.e. for 201,8130 is 544710.
Thus, GCF of Fractions is 1/544710.Finally, GCF of Fractions for 4939/201, 4460/8130 is 1/544710.