Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 939/11,728/50,255/714
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 939,728,255
Greatest Common Factor of Numerators i.e. GCF of 939,728,255 is 1 .
LCM of Denominators means LCM of 11,50,714 as per the given fractions.
LCM of 11,50,714 is 196350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 939,728,255
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 939,728,255 . The biggest common factor number is the GCF number.
So the greatest common factor 939,728,255 is 1.
Lets's calculate LCM of 11,50,714
2 | 11, 50, 714 |
11, 25, 357 |
∴ So the LCM of the given numbers is 2 x 11 x 25 x 357 = 196350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196350
Therefore, the GCF of Fractions 939/11,728/50,255/714 is 1/196350
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 11,50,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,50,714) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(11,50,714) x common factors =1 x 2 = 2
LCM(11,50,714) = ( 11 × 50 × 714 ) / 2
LCM(11,50,714) = 392700 / 2
LCM(11,50,714) = 196350
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 939/11, 728/50, 255/714?
Answer: GCF of Numerators as per given numbers 939/11, 728/50, 255/714 is
GCF of Numerators i.e. for 939,728,255 is 1
LCM of denominators i.e. for 11,50,714 is 196350.
Thus, GCF of Fractions is 1/196350.Finally, GCF of Fractions for 939/11, 728/50, 255/714 is 1/196350.