Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8565/89,3131/257
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 8565,3131
Greatest Common Factor of Numerators i.e. GCF of 8565,3131 is 1 .
LCM of Denominators means LCM of 89,257 as per the given fractions.
LCM of 89,257 is 22873 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8565,3131
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8565
List of positive integer factors of 8565 that divides 8565 without a remainder.
1,3,5,15,571,1713,2855,8565
Factors of 3131
List of positive integer factors of 3131 that divides 3131 without a remainder.
1,31,101,3131
Greatest Common Factor
We found the factors 8565,3131 . The biggest common factor number is the GCF number.
So the greatest common factor 8565,3131 is 1.
Lets's calculate LCM of 89,257
Given numbers has no common factors except 1. So, there LCM is their product i.e 22873
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22873
Therefore, the GCF of Fractions 8565/89,3131/257 is 1/22873
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 89,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,257) x common factors =1 x 1 = 1
LCM(89,257) = ( 89 × 257 ) / 1
LCM(89,257) = 22873 / 1
LCM(89,257) = 22873
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 8565/89, 3131/257?
Answer: GCF of Numerators as per given numbers 8565/89, 3131/257 is
GCF of Numerators i.e. for 8565,3131 is 1
LCM of denominators i.e. for 89,257 is 22873.
Thus, GCF of Fractions is 1/22873.Finally, GCF of Fractions for 8565/89, 3131/257 is 1/22873.