Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 549/96,639/9856
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 549,639
Greatest Common Factor of Numerators i.e. GCF of 549,639 is 9 .
LCM of Denominators means LCM of 96,9856 as per the given fractions.
LCM of 96,9856 is 29568 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 549,639
3 | 549, 639 |
3 | 183, 213 |
61, 71 |
∴ 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 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Greatest Common Factor
We found the factors 549,639 . The biggest common factor number is the GCF number.
So the greatest common factor 549,639 is 9.
Lets's calculate LCM of 96,9856
2 | 96, 9856 |
2 | 48, 4928 |
2 | 24, 2464 |
2 | 12, 1232 |
2 | 6, 616 |
3, 308 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 308 = 29568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/29568
Therefore, the GCF of Fractions 549/96,639/9856 is 9/29568
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 96,9856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,9856) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(96,9856) x common factors =32 x 1 = 32
LCM(96,9856) = ( 96 × 9856 ) / 32
LCM(96,9856) = 946176 / 32
LCM(96,9856) = 29568
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 549/96, 639/9856?
Answer: GCF of Numerators as per given numbers 549/96, 639/9856 is
GCF of Numerators i.e. for 549,639 is 9
LCM of denominators i.e. for 96,9856 is 29568.
Thus, GCF of Fractions is 9/29568.Finally, GCF of Fractions for 549/96, 639/9856 is 9/29568.