Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 794/31,834/28,449/644
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 794,834,449
Greatest Common Factor of Numerators i.e. GCF of 794,834,449 is 1 .
LCM of Denominators means LCM of 31,28,644 as per the given fractions.
LCM of 31,28,644 is 19964 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 794,834,449
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 834
List of positive integer factors of 834 that divides 834 without a remainder.
1,2,3,6,139,278,417,834
Factors of 449
List of positive integer factors of 449 that divides 449 without a remainder.
1,449
Greatest Common Factor
We found the factors 794,834,449 . The biggest common factor number is the GCF number.
So the greatest common factor 794,834,449 is 1.
Lets's calculate LCM of 31,28,644
2 | 31, 28, 644 |
2 | 31, 14, 322 |
7 | 31, 7, 161 |
31, 1, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 31 x 1 x 23 = 19964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19964
Therefore, the GCF of Fractions 794/31,834/28,449/644 is 1/19964
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 31,28,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,28,644) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(31,28,644) x common factors =1 x 28 = 28
LCM(31,28,644) = ( 31 × 28 × 644 ) / 28
LCM(31,28,644) = 558992 / 28
LCM(31,28,644) = 19964
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 794/31, 834/28, 449/644?
Answer: GCF of Numerators as per given numbers 794/31, 834/28, 449/644 is
GCF of Numerators i.e. for 794,834,449 is 1
LCM of denominators i.e. for 31,28,644 is 19964.
Thus, GCF of Fractions is 1/19964.Finally, GCF of Fractions for 794/31, 834/28, 449/644 is 1/19964.