Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 554/36,451/204
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 554,451
Greatest Common Factor of Numerators i.e. GCF of 554,451 is 1 .
LCM of Denominators means LCM of 36,204 as per the given fractions.
LCM of 36,204 is 612 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 554,451
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Greatest Common Factor
We found the factors 554,451 . The biggest common factor number is the GCF number.
So the greatest common factor 554,451 is 1.
Lets's calculate LCM of 36,204
2 | 36, 204 |
2 | 18, 102 |
3 | 9, 51 |
3, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 17 = 612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/612
Therefore, the GCF of Fractions 554/36,451/204 is 1/612
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 36,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,204) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(36,204) x common factors =12 x 1 = 12
LCM(36,204) = ( 36 × 204 ) / 12
LCM(36,204) = 7344 / 12
LCM(36,204) = 612
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 554/36, 451/204?
Answer: GCF of Numerators as per given numbers 554/36, 451/204 is
GCF of Numerators i.e. for 554,451 is 1
LCM of denominators i.e. for 36,204 is 612.
Thus, GCF of Fractions is 1/612.Finally, GCF of Fractions for 554/36, 451/204 is 1/612.