Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8751/289,5970/324
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 8751,5970
Greatest Common Factor of Numerators i.e. GCF of 8751,5970 is 3 .
LCM of Denominators means LCM of 289,324 as per the given fractions.
LCM of 289,324 is 93636 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8751,5970
3 | 8751, 5970 |
2917, 1990 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8751
List of positive integer factors of 8751 that divides 8751 without a remainder.
1,3,2917,8751
Factors of 5970
List of positive integer factors of 5970 that divides 5970 without a remainder.
1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970
Greatest Common Factor
We found the factors 8751,5970 . The biggest common factor number is the GCF number.
So the greatest common factor 8751,5970 is 3.
Lets's calculate LCM of 289,324
Given numbers has no common factors except 1. So, there LCM is their product i.e 93636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/93636
Therefore, the GCF of Fractions 8751/289,5970/324 is 3/93636
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 289,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,324) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,324) x common factors =1 x 1 = 1
LCM(289,324) = ( 289 × 324 ) / 1
LCM(289,324) = 93636 / 1
LCM(289,324) = 93636
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 8751/289, 5970/324?
Answer: GCF of Numerators as per given numbers 8751/289, 5970/324 is
GCF of Numerators i.e. for 8751,5970 is 3
LCM of denominators i.e. for 289,324 is 93636.
Thus, GCF of Fractions is 3/93636.Finally, GCF of Fractions for 8751/289, 5970/324 is 3/93636.