Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 605/90,294/42,545/13
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 605,294,545
Greatest Common Factor of Numerators i.e. GCF of 605,294,545 is 1 .
LCM of Denominators means LCM of 90,42,13 as per the given fractions.
LCM of 90,42,13 is 8190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 605,294,545
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Greatest Common Factor
We found the factors 605,294,545 . The biggest common factor number is the GCF number.
So the greatest common factor 605,294,545 is 1.
Lets's calculate LCM of 90,42,13
2 | 90, 42, 13 |
3 | 45, 21, 13 |
15, 7, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 15 x 7 x 13 = 8190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8190
Therefore, the GCF of Fractions 605/90,294/42,545/13 is 1/8190
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 90,42,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,42,13) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(90,42,13) x common factors =1 x 6 = 6
LCM(90,42,13) = ( 90 × 42 × 13 ) / 6
LCM(90,42,13) = 49140 / 6
LCM(90,42,13) = 8190
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 605/90, 294/42, 545/13?
Answer: GCF of Numerators as per given numbers 605/90, 294/42, 545/13 is
GCF of Numerators i.e. for 605,294,545 is 1
LCM of denominators i.e. for 90,42,13 is 8190.
Thus, GCF of Fractions is 1/8190.Finally, GCF of Fractions for 605/90, 294/42, 545/13 is 1/8190.