Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8063/999,5599/5353
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 8063,5599
Greatest Common Factor of Numerators i.e. GCF of 8063,5599 is 11 .
LCM of Denominators means LCM of 999,5353 as per the given fractions.
LCM of 999,5353 is 5347647 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8063,5599
11 | 8063, 5599 |
733, 509 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 8063
List of positive integer factors of 8063 that divides 8063 without a remainder.
1,11,733,8063
Factors of 5599
List of positive integer factors of 5599 that divides 5599 without a remainder.
1,11,509,5599
Greatest Common Factor
We found the factors 8063,5599 . The biggest common factor number is the GCF number.
So the greatest common factor 8063,5599 is 11.
Lets's calculate LCM of 999,5353
Given numbers has no common factors except 1. So, there LCM is their product i.e 5347647
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/5347647
Therefore, the GCF of Fractions 8063/999,5599/5353 is 11/5347647
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 999,5353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,5353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(999,5353) x common factors =1 x 1 = 1
LCM(999,5353) = ( 999 × 5353 ) / 1
LCM(999,5353) = 5347647 / 1
LCM(999,5353) = 5347647
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 8063/999, 5599/5353?
Answer: GCF of Numerators as per given numbers 8063/999, 5599/5353 is
GCF of Numerators i.e. for 8063,5599 is 11
LCM of denominators i.e. for 999,5353 is 5347647.
Thus, GCF of Fractions is 11/5347647.Finally, GCF of Fractions for 8063/999, 5599/5353 is 11/5347647.