Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/47,589/31,240/865
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 65,589,240
Greatest Common Factor of Numerators i.e. GCF of 65,589,240 is 1 .
LCM of Denominators means LCM of 47,31,865 as per the given fractions.
LCM of 47,31,865 is 1260305 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 65,589,240
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Greatest Common Factor
We found the factors 65,589,240 . The biggest common factor number is the GCF number.
So the greatest common factor 65,589,240 is 1.
Lets's calculate LCM of 47,31,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 1260305
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1260305
Therefore, the GCF of Fractions 65/47,589/31,240/865 is 1/1260305
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 47,31,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,31,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,31,865) x common factors =1 x 1 = 1
LCM(47,31,865) = ( 47 × 31 × 865 ) / 1
LCM(47,31,865) = 1260305 / 1
LCM(47,31,865) = 1260305
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 65/47, 589/31, 240/865?
Answer: GCF of Numerators as per given numbers 65/47, 589/31, 240/865 is
GCF of Numerators i.e. for 65,589,240 is 1
LCM of denominators i.e. for 47,31,865 is 1260305.
Thus, GCF of Fractions is 1/1260305.Finally, GCF of Fractions for 65/47, 589/31, 240/865 is 1/1260305.