Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 549/23,414/62,580/442
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 549,414,580
Greatest Common Factor of Numerators i.e. GCF of 549,414,580 is 1 .
LCM of Denominators means LCM of 23,62,442 as per the given fractions.
LCM of 23,62,442 is 315146 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 549,414,580
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 549,414,580 . The biggest common factor number is the GCF number.
So the greatest common factor 549,414,580 is 1.
Lets's calculate LCM of 23,62,442
2 | 23, 62, 442 |
23, 31, 221 |
∴ So the LCM of the given numbers is 2 x 23 x 31 x 221 = 315146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/315146
Therefore, the GCF of Fractions 549/23,414/62,580/442 is 1/315146
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 23,62,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,62,442) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(23,62,442) x common factors =1 x 2 = 2
LCM(23,62,442) = ( 23 × 62 × 442 ) / 2
LCM(23,62,442) = 630292 / 2
LCM(23,62,442) = 315146
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 549/23, 414/62, 580/442?
Answer: GCF of Numerators as per given numbers 549/23, 414/62, 580/442 is
GCF of Numerators i.e. for 549,414,580 is 1
LCM of denominators i.e. for 23,62,442 is 315146.
Thus, GCF of Fractions is 1/315146.Finally, GCF of Fractions for 549/23, 414/62, 580/442 is 1/315146.