Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 494/61,825/22,404/982
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 494,825,404
Greatest Common Factor of Numerators i.e. GCF of 494,825,404 is 1 .
LCM of Denominators means LCM of 61,22,982 as per the given fractions.
LCM of 61,22,982 is 658922 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 494,825,404
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Factors of 404
List of positive integer factors of 404 that divides 404 without a remainder.
1,2,4,101,202,404
Greatest Common Factor
We found the factors 494,825,404 . The biggest common factor number is the GCF number.
So the greatest common factor 494,825,404 is 1.
Lets's calculate LCM of 61,22,982
2 | 61, 22, 982 |
61, 11, 491 |
∴ So the LCM of the given numbers is 2 x 61 x 11 x 491 = 658922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/658922
Therefore, the GCF of Fractions 494/61,825/22,404/982 is 1/658922
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 61,22,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,22,982) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(61,22,982) x common factors =1 x 2 = 2
LCM(61,22,982) = ( 61 × 22 × 982 ) / 2
LCM(61,22,982) = 1317844 / 2
LCM(61,22,982) = 658922
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 494/61, 825/22, 404/982?
Answer: GCF of Numerators as per given numbers 494/61, 825/22, 404/982 is
GCF of Numerators i.e. for 494,825,404 is 1
LCM of denominators i.e. for 61,22,982 is 658922.
Thus, GCF of Fractions is 1/658922.Finally, GCF of Fractions for 494/61, 825/22, 404/982 is 1/658922.