Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 713/50,976/62,283/388
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 713,976,283
Greatest Common Factor of Numerators i.e. GCF of 713,976,283 is 1 .
LCM of Denominators means LCM of 50,62,388 as per the given fractions.
LCM of 50,62,388 is 300700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 713,976,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1,23,31,713
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Greatest Common Factor
We found the factors 713,976,283 . The biggest common factor number is the GCF number.
So the greatest common factor 713,976,283 is 1.
Lets's calculate LCM of 50,62,388
2 | 50, 62, 388 |
25, 31, 194 |
∴ So the LCM of the given numbers is 2 x 25 x 31 x 194 = 300700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300700
Therefore, the GCF of Fractions 713/50,976/62,283/388 is 1/300700
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 50,62,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,62,388) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(50,62,388) x common factors =2 x 2 = 4
LCM(50,62,388) = ( 50 × 62 × 388 ) / 4
LCM(50,62,388) = 1202800 / 4
LCM(50,62,388) = 300700
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 713/50, 976/62, 283/388?
Answer: GCF of Numerators as per given numbers 713/50, 976/62, 283/388 is
GCF of Numerators i.e. for 713,976,283 is 1
LCM of denominators i.e. for 50,62,388 is 300700.
Thus, GCF of Fractions is 1/300700.Finally, GCF of Fractions for 713/50, 976/62, 283/388 is 1/300700.