Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5319/939,3282/6757
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 5319,3282
Greatest Common Factor of Numerators i.e. GCF of 5319,3282 is 3 .
LCM of Denominators means LCM of 939,6757 as per the given fractions.
LCM of 939,6757 is 6344823 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5319,3282
3 | 5319, 3282 |
1773, 1094 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5319
List of positive integer factors of 5319 that divides 5319 without a remainder.
1,3,9,27,197,591,1773,5319
Factors of 3282
List of positive integer factors of 3282 that divides 3282 without a remainder.
1,2,3,6,547,1094,1641,3282
Greatest Common Factor
We found the factors 5319,3282 . The biggest common factor number is the GCF number.
So the greatest common factor 5319,3282 is 3.
Lets's calculate LCM of 939,6757
Given numbers has no common factors except 1. So, there LCM is their product i.e 6344823
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6344823
Therefore, the GCF of Fractions 5319/939,3282/6757 is 3/6344823
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 939,6757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,6757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(939,6757) x common factors =1 x 1 = 1
LCM(939,6757) = ( 939 × 6757 ) / 1
LCM(939,6757) = 6344823 / 1
LCM(939,6757) = 6344823
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 5319/939, 3282/6757?
Answer: GCF of Numerators as per given numbers 5319/939, 3282/6757 is
GCF of Numerators i.e. for 5319,3282 is 3
LCM of denominators i.e. for 939,6757 is 6344823.
Thus, GCF of Fractions is 3/6344823.Finally, GCF of Fractions for 5319/939, 3282/6757 is 3/6344823.