Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 501/62,928/22,631/723
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 501,928,631
Greatest Common Factor of Numerators i.e. GCF of 501,928,631 is 1 .
LCM of Denominators means LCM of 62,22,723 as per the given fractions.
LCM of 62,22,723 is 493086 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 501,928,631
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1,631
Greatest Common Factor
We found the factors 501,928,631 . The biggest common factor number is the GCF number.
So the greatest common factor 501,928,631 is 1.
Lets's calculate LCM of 62,22,723
2 | 62, 22, 723 |
31, 11, 723 |
∴ So the LCM of the given numbers is 2 x 31 x 11 x 723 = 493086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/493086
Therefore, the GCF of Fractions 501/62,928/22,631/723 is 1/493086
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 62,22,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,22,723) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,22,723) x common factors =1 x 2 = 2
LCM(62,22,723) = ( 62 × 22 × 723 ) / 2
LCM(62,22,723) = 986172 / 2
LCM(62,22,723) = 493086
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 501/62, 928/22, 631/723?
Answer: GCF of Numerators as per given numbers 501/62, 928/22, 631/723 is
GCF of Numerators i.e. for 501,928,631 is 1
LCM of denominators i.e. for 62,22,723 is 493086.
Thus, GCF of Fractions is 1/493086.Finally, GCF of Fractions for 501/62, 928/22, 631/723 is 1/493086.