Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 64/31,310/16,664/233
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 64,310,664
Greatest Common Factor of Numerators i.e. GCF of 64,310,664 is 2 .
LCM of Denominators means LCM of 31,16,233 as per the given fractions.
LCM of 31,16,233 is 115568 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 64,310,664
2 | 64, 310, 664 |
32, 155, 332 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Greatest Common Factor
We found the factors 64,310,664 . The biggest common factor number is the GCF number.
So the greatest common factor 64,310,664 is 2.
Lets's calculate LCM of 31,16,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 115568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/115568
Therefore, the GCF of Fractions 64/31,310/16,664/233 is 2/115568
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 31,16,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,16,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,16,233) x common factors =1 x 1 = 1
LCM(31,16,233) = ( 31 × 16 × 233 ) / 1
LCM(31,16,233) = 115568 / 1
LCM(31,16,233) = 115568
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 64/31, 310/16, 664/233?
Answer: GCF of Numerators as per given numbers 64/31, 310/16, 664/233 is
GCF of Numerators i.e. for 64,310,664 is 2
LCM of denominators i.e. for 31,16,233 is 115568.
Thus, GCF of Fractions is 2/115568.Finally, GCF of Fractions for 64/31, 310/16, 664/233 is 2/115568.