Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 184/86,266/87,511/625
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 184,266,511
Greatest Common Factor of Numerators i.e. GCF of 184,266,511 is 1 .
LCM of Denominators means LCM of 86,87,625 as per the given fractions.
LCM of 86,87,625 is 4676250 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 184,266,511
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Greatest Common Factor
We found the factors 184,266,511 . The biggest common factor number is the GCF number.
So the greatest common factor 184,266,511 is 1.
Lets's calculate LCM of 86,87,625
Given numbers has no common factors except 1. So, there LCM is their product i.e 4676250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4676250
Therefore, the GCF of Fractions 184/86,266/87,511/625 is 1/4676250
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 86,87,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,87,625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,87,625) x common factors =1 x 1 = 1
LCM(86,87,625) = ( 86 × 87 × 625 ) / 1
LCM(86,87,625) = 4676250 / 1
LCM(86,87,625) = 4676250
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 184/86, 266/87, 511/625?
Answer: GCF of Numerators as per given numbers 184/86, 266/87, 511/625 is
GCF of Numerators i.e. for 184,266,511 is 1
LCM of denominators i.e. for 86,87,625 is 4676250.
Thus, GCF of Fractions is 1/4676250.Finally, GCF of Fractions for 184/86, 266/87, 511/625 is 1/4676250.