Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8546/517,7319/4297
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 8546,7319
Greatest Common Factor of Numerators i.e. GCF of 8546,7319 is 1 .
LCM of Denominators means LCM of 517,4297 as per the given fractions.
LCM of 517,4297 is 2221549 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8546,7319
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8546
List of positive integer factors of 8546 that divides 8546 without a remainder.
1,2,4273,8546
Factors of 7319
List of positive integer factors of 7319 that divides 7319 without a remainder.
1,13,563,7319
Greatest Common Factor
We found the factors 8546,7319 . The biggest common factor number is the GCF number.
So the greatest common factor 8546,7319 is 1.
Lets's calculate LCM of 517,4297
Given numbers has no common factors except 1. So, there LCM is their product i.e 2221549
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2221549
Therefore, the GCF of Fractions 8546/517,7319/4297 is 1/2221549
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 517,4297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,4297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,4297) x common factors =1 x 1 = 1
LCM(517,4297) = ( 517 × 4297 ) / 1
LCM(517,4297) = 2221549 / 1
LCM(517,4297) = 2221549
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 8546/517, 7319/4297?
Answer: GCF of Numerators as per given numbers 8546/517, 7319/4297 is
GCF of Numerators i.e. for 8546,7319 is 1
LCM of denominators i.e. for 517,4297 is 2221549.
Thus, GCF of Fractions is 1/2221549.Finally, GCF of Fractions for 8546/517, 7319/4297 is 1/2221549.