Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4576/36,5773/825
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 4576,5773
Greatest Common Factor of Numerators i.e. GCF of 4576,5773 is 1 .
LCM of Denominators means LCM of 36,825 as per the given fractions.
LCM of 36,825 is 9900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4576,5773
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4576
List of positive integer factors of 4576 that divides 4576 without a remainder.
1,2,4,8,11,13,16,22,26,32,44,52,88,104,143,176,208,286,352,416,572,1144,2288,4576
Factors of 5773
List of positive integer factors of 5773 that divides 5773 without a remainder.
1,23,251,5773
Greatest Common Factor
We found the factors 4576,5773 . The biggest common factor number is the GCF number.
So the greatest common factor 4576,5773 is 1.
Lets's calculate LCM of 36,825
3 | 36, 825 |
12, 275 |
∴ So the LCM of the given numbers is 3 x 12 x 275 = 9900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9900
Therefore, the GCF of Fractions 4576/36,5773/825 is 1/9900
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 36,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,825) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(36,825) x common factors =3 x 1 = 3
LCM(36,825) = ( 36 × 825 ) / 3
LCM(36,825) = 29700 / 3
LCM(36,825) = 9900
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 4576/36, 5773/825?
Answer: GCF of Numerators as per given numbers 4576/36, 5773/825 is
GCF of Numerators i.e. for 4576,5773 is 1
LCM of denominators i.e. for 36,825 is 9900.
Thus, GCF of Fractions is 1/9900.Finally, GCF of Fractions for 4576/36, 5773/825 is 1/9900.