Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/312,587/713,933/305
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 86,587,933
Greatest Common Factor of Numerators i.e. GCF of 86,587,933 is 1 .
LCM of Denominators means LCM of 312,713,305 as per the given fractions.
LCM of 312,713,305 is 67849080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 86,587,933
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Greatest Common Factor
We found the factors 86,587,933 . The biggest common factor number is the GCF number.
So the greatest common factor 86,587,933 is 1.
Lets's calculate LCM of 312,713,305
Given numbers has no common factors except 1. So, there LCM is their product i.e 67849080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67849080
Therefore, the GCF of Fractions 86/312,587/713,933/305 is 1/67849080
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 312,713,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,713,305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(312,713,305) x common factors =1 x 1 = 1
LCM(312,713,305) = ( 312 × 713 × 305 ) / 1
LCM(312,713,305) = 67849080 / 1
LCM(312,713,305) = 67849080
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 86/312, 587/713, 933/305?
Answer: GCF of Numerators as per given numbers 86/312, 587/713, 933/305 is
GCF of Numerators i.e. for 86,587,933 is 1
LCM of denominators i.e. for 312,713,305 is 67849080.
Thus, GCF of Fractions is 1/67849080.Finally, GCF of Fractions for 86/312, 587/713, 933/305 is 1/67849080.