Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 583/42,450/55,828/497
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 583,450,828
Greatest Common Factor of Numerators i.e. GCF of 583,450,828 is 1 .
LCM of Denominators means LCM of 42,55,497 as per the given fractions.
LCM of 42,55,497 is 164010 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 583,450,828
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 583,450,828 . The biggest common factor number is the GCF number.
So the greatest common factor 583,450,828 is 1.
Lets's calculate LCM of 42,55,497
7 | 42, 55, 497 |
6, 55, 71 |
∴ So the LCM of the given numbers is 7 x 6 x 55 x 71 = 164010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164010
Therefore, the GCF of Fractions 583/42,450/55,828/497 is 1/164010
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 42,55,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,55,497) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(42,55,497) x common factors =1 x 7 = 7
LCM(42,55,497) = ( 42 × 55 × 497 ) / 7
LCM(42,55,497) = 1148070 / 7
LCM(42,55,497) = 164010
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 583/42, 450/55, 828/497?
Answer: GCF of Numerators as per given numbers 583/42, 450/55, 828/497 is
GCF of Numerators i.e. for 583,450,828 is 1
LCM of denominators i.e. for 42,55,497 is 164010.
Thus, GCF of Fractions is 1/164010.Finally, GCF of Fractions for 583/42, 450/55, 828/497 is 1/164010.