Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 574/56,843/32,317/926
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 574,843,317
Greatest Common Factor of Numerators i.e. GCF of 574,843,317 is 1 .
LCM of Denominators means LCM of 56,32,926 as per the given fractions.
LCM of 56,32,926 is 103712 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 574,843,317
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Factors of 317
List of positive integer factors of 317 that divides 317 without a remainder.
1,317
Greatest Common Factor
We found the factors 574,843,317 . The biggest common factor number is the GCF number.
So the greatest common factor 574,843,317 is 1.
Lets's calculate LCM of 56,32,926
2 | 56, 32, 926 |
2 | 28, 16, 463 |
2 | 14, 8, 463 |
7, 4, 463 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 4 x 463 = 103712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103712
Therefore, the GCF of Fractions 574/56,843/32,317/926 is 1/103712
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 56,32,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,32,926) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(56,32,926) x common factors =2 x 8 = 16
LCM(56,32,926) = ( 56 × 32 × 926 ) / 16
LCM(56,32,926) = 1659392 / 16
LCM(56,32,926) = 103712
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 574/56, 843/32, 317/926?
Answer: GCF of Numerators as per given numbers 574/56, 843/32, 317/926 is
GCF of Numerators i.e. for 574,843,317 is 1
LCM of denominators i.e. for 56,32,926 is 103712.
Thus, GCF of Fractions is 1/103712.Finally, GCF of Fractions for 574/56, 843/32, 317/926 is 1/103712.