Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8745/23,5259/779
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 8745,5259
Greatest Common Factor of Numerators i.e. GCF of 8745,5259 is 3 .
LCM of Denominators means LCM of 23,779 as per the given fractions.
LCM of 23,779 is 17917 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8745,5259
3 | 8745, 5259 |
2915, 1753 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8745
List of positive integer factors of 8745 that divides 8745 without a remainder.
1,3,5,11,15,33,53,55,159,165,265,583,795,1749,2915,8745
Factors of 5259
List of positive integer factors of 5259 that divides 5259 without a remainder.
1,3,1753,5259
Greatest Common Factor
We found the factors 8745,5259 . The biggest common factor number is the GCF number.
So the greatest common factor 8745,5259 is 3.
Lets's calculate LCM of 23,779
Given numbers has no common factors except 1. So, there LCM is their product i.e 17917
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17917
Therefore, the GCF of Fractions 8745/23,5259/779 is 3/17917
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 23,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,779) x common factors =1 x 1 = 1
LCM(23,779) = ( 23 × 779 ) / 1
LCM(23,779) = 17917 / 1
LCM(23,779) = 17917
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 8745/23, 5259/779?
Answer: GCF of Numerators as per given numbers 8745/23, 5259/779 is
GCF of Numerators i.e. for 8745,5259 is 3
LCM of denominators i.e. for 23,779 is 17917.
Thus, GCF of Fractions is 3/17917.Finally, GCF of Fractions for 8745/23, 5259/779 is 3/17917.