Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8714/97,5729/397
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 8714,5729
Greatest Common Factor of Numerators i.e. GCF of 8714,5729 is 1 .
LCM of Denominators means LCM of 97,397 as per the given fractions.
LCM of 97,397 is 38509 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8714,5729
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8714
List of positive integer factors of 8714 that divides 8714 without a remainder.
1,2,4357,8714
Factors of 5729
List of positive integer factors of 5729 that divides 5729 without a remainder.
1,17,337,5729
Greatest Common Factor
We found the factors 8714,5729 . The biggest common factor number is the GCF number.
So the greatest common factor 8714,5729 is 1.
Lets's calculate LCM of 97,397
Given numbers has no common factors except 1. So, there LCM is their product i.e 38509
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38509
Therefore, the GCF of Fractions 8714/97,5729/397 is 1/38509
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 97,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,397) x common factors =1 x 1 = 1
LCM(97,397) = ( 97 × 397 ) / 1
LCM(97,397) = 38509 / 1
LCM(97,397) = 38509
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 8714/97, 5729/397?
Answer: GCF of Numerators as per given numbers 8714/97, 5729/397 is
GCF of Numerators i.e. for 8714,5729 is 1
LCM of denominators i.e. for 97,397 is 38509.
Thus, GCF of Fractions is 1/38509.Finally, GCF of Fractions for 8714/97, 5729/397 is 1/38509.