Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 549/956,333/896
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 549,333
Greatest Common Factor of Numerators i.e. GCF of 549,333 is 9 .
LCM of Denominators means LCM of 956,896 as per the given fractions.
LCM of 956,896 is 214144 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 549,333
3 | 549, 333 |
3 | 183, 111 |
61, 37 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Greatest Common Factor
We found the factors 549,333 . The biggest common factor number is the GCF number.
So the greatest common factor 549,333 is 9.
Lets's calculate LCM of 956,896
2 | 956, 896 |
2 | 478, 448 |
239, 224 |
∴ So the LCM of the given numbers is 2 x 2 x 239 x 224 = 214144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/214144
Therefore, the GCF of Fractions 549/956,333/896 is 9/214144
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 956,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(956,896) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(956,896) x common factors =4 x 1 = 4
LCM(956,896) = ( 956 × 896 ) / 4
LCM(956,896) = 856576 / 4
LCM(956,896) = 214144
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 549/956, 333/896?
Answer: GCF of Numerators as per given numbers 549/956, 333/896 is
GCF of Numerators i.e. for 549,333 is 9
LCM of denominators i.e. for 956,896 is 214144.
Thus, GCF of Fractions is 9/214144.Finally, GCF of Fractions for 549/956, 333/896 is 9/214144.