Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/91,66/25,184/579
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 69,66,184
Greatest Common Factor of Numerators i.e. GCF of 69,66,184 is 1 .
LCM of Denominators means LCM of 91,25,579 as per the given fractions.
LCM of 91,25,579 is 1317225 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 69,66,184
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 69,66,184 . The biggest common factor number is the GCF number.
So the greatest common factor 69,66,184 is 1.
Lets's calculate LCM of 91,25,579
Given numbers has no common factors except 1. So, there LCM is their product i.e 1317225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1317225
Therefore, the GCF of Fractions 69/91,66/25,184/579 is 1/1317225
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 91,25,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,25,579) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,25,579) x common factors =1 x 1 = 1
LCM(91,25,579) = ( 91 × 25 × 579 ) / 1
LCM(91,25,579) = 1317225 / 1
LCM(91,25,579) = 1317225
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 69/91, 66/25, 184/579?
Answer: GCF of Numerators as per given numbers 69/91, 66/25, 184/579 is
GCF of Numerators i.e. for 69,66,184 is 1
LCM of denominators i.e. for 91,25,579 is 1317225.
Thus, GCF of Fractions is 1/1317225.Finally, GCF of Fractions for 69/91, 66/25, 184/579 is 1/1317225.