Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8705/31,6315/536
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 8705,6315
Greatest Common Factor of Numerators i.e. GCF of 8705,6315 is 5 .
LCM of Denominators means LCM of 31,536 as per the given fractions.
LCM of 31,536 is 16616 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8705,6315
5 | 8705, 6315 |
1741, 1263 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 8705
List of positive integer factors of 8705 that divides 8705 without a remainder.
1,5,1741,8705
Factors of 6315
List of positive integer factors of 6315 that divides 6315 without a remainder.
1,3,5,15,421,1263,2105,6315
Greatest Common Factor
We found the factors 8705,6315 . The biggest common factor number is the GCF number.
So the greatest common factor 8705,6315 is 5.
Lets's calculate LCM of 31,536
Given numbers has no common factors except 1. So, there LCM is their product i.e 16616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/16616
Therefore, the GCF of Fractions 8705/31,6315/536 is 5/16616
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 31,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,536) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,536) x common factors =1 x 1 = 1
LCM(31,536) = ( 31 × 536 ) / 1
LCM(31,536) = 16616 / 1
LCM(31,536) = 16616
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 8705/31, 6315/536?
Answer: GCF of Numerators as per given numbers 8705/31, 6315/536 is
GCF of Numerators i.e. for 8705,6315 is 5
LCM of denominators i.e. for 31,536 is 16616.
Thus, GCF of Fractions is 5/16616.Finally, GCF of Fractions for 8705/31, 6315/536 is 5/16616.