Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9897/136,3684/6674
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 9897,3684
Greatest Common Factor of Numerators i.e. GCF of 9897,3684 is 3 .
LCM of Denominators means LCM of 136,6674 as per the given fractions.
LCM of 136,6674 is 453832 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9897,3684
3 | 9897, 3684 |
3299, 1228 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9897
List of positive integer factors of 9897 that divides 9897 without a remainder.
1,3,3299,9897
Factors of 3684
List of positive integer factors of 3684 that divides 3684 without a remainder.
1,2,3,4,6,12,307,614,921,1228,1842,3684
Greatest Common Factor
We found the factors 9897,3684 . The biggest common factor number is the GCF number.
So the greatest common factor 9897,3684 is 3.
Lets's calculate LCM of 136,6674
2 | 136, 6674 |
68, 3337 |
∴ So the LCM of the given numbers is 2 x 68 x 3337 = 453832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/453832
Therefore, the GCF of Fractions 9897/136,3684/6674 is 3/453832
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 136,6674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,6674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(136,6674) x common factors =2 x 1 = 2
LCM(136,6674) = ( 136 × 6674 ) / 2
LCM(136,6674) = 907664 / 2
LCM(136,6674) = 453832
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 9897/136, 3684/6674?
Answer: GCF of Numerators as per given numbers 9897/136, 3684/6674 is
GCF of Numerators i.e. for 9897,3684 is 3
LCM of denominators i.e. for 136,6674 is 453832.
Thus, GCF of Fractions is 3/453832.Finally, GCF of Fractions for 9897/136, 3684/6674 is 3/453832.