Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8977/57,8475/274
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 8977,8475
Greatest Common Factor of Numerators i.e. GCF of 8977,8475 is 1 .
LCM of Denominators means LCM of 57,274 as per the given fractions.
LCM of 57,274 is 15618 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8977,8475
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8977
List of positive integer factors of 8977 that divides 8977 without a remainder.
1,47,191,8977
Factors of 8475
List of positive integer factors of 8475 that divides 8475 without a remainder.
1,3,5,15,25,75,113,339,565,1695,2825,8475
Greatest Common Factor
We found the factors 8977,8475 . The biggest common factor number is the GCF number.
So the greatest common factor 8977,8475 is 1.
Lets's calculate LCM of 57,274
Given numbers has no common factors except 1. So, there LCM is their product i.e 15618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15618
Therefore, the GCF of Fractions 8977/57,8475/274 is 1/15618
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 57,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,274) x common factors =1 x 1 = 1
LCM(57,274) = ( 57 × 274 ) / 1
LCM(57,274) = 15618 / 1
LCM(57,274) = 15618
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 8977/57, 8475/274?
Answer: GCF of Numerators as per given numbers 8977/57, 8475/274 is
GCF of Numerators i.e. for 8977,8475 is 1
LCM of denominators i.e. for 57,274 is 15618.
Thus, GCF of Fractions is 1/15618.Finally, GCF of Fractions for 8977/57, 8475/274 is 1/15618.