Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3313/82,5904/900
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 3313,5904
Greatest Common Factor of Numerators i.e. GCF of 3313,5904 is 1 .
LCM of Denominators means LCM of 82,900 as per the given fractions.
LCM of 82,900 is 36900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3313,5904
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3313
List of positive integer factors of 3313 that divides 3313 without a remainder.
1,3313
Factors of 5904
List of positive integer factors of 5904 that divides 5904 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,41,48,72,82,123,144,164,246,328,369,492,656,738,984,1476,1968,2952,5904
Greatest Common Factor
We found the factors 3313,5904 . The biggest common factor number is the GCF number.
So the greatest common factor 3313,5904 is 1.
Lets's calculate LCM of 82,900
2 | 82, 900 |
41, 450 |
∴ So the LCM of the given numbers is 2 x 41 x 450 = 36900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36900
Therefore, the GCF of Fractions 3313/82,5904/900 is 1/36900
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 82,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,900) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,900) x common factors =2 x 1 = 2
LCM(82,900) = ( 82 × 900 ) / 2
LCM(82,900) = 73800 / 2
LCM(82,900) = 36900
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 3313/82, 5904/900?
Answer: GCF of Numerators as per given numbers 3313/82, 5904/900 is
GCF of Numerators i.e. for 3313,5904 is 1
LCM of denominators i.e. for 82,900 is 36900.
Thus, GCF of Fractions is 1/36900.Finally, GCF of Fractions for 3313/82, 5904/900 is 1/36900.