Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 586/672,9155/256
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 586,9155
Greatest Common Factor of Numerators i.e. GCF of 586,9155 is 1 .
LCM of Denominators means LCM of 672,256 as per the given fractions.
LCM of 672,256 is 5376 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 586,9155
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Factors of 9155
List of positive integer factors of 9155 that divides 9155 without a remainder.
1,5,1831,9155
Greatest Common Factor
We found the factors 586,9155 . The biggest common factor number is the GCF number.
So the greatest common factor 586,9155 is 1.
Lets's calculate LCM of 672,256
2 | 672, 256 |
2 | 336, 128 |
2 | 168, 64 |
2 | 84, 32 |
2 | 42, 16 |
21, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 21 x 8 = 5376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5376
Therefore, the GCF of Fractions 586/672,9155/256 is 1/5376
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 672,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,256) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(672,256) x common factors =32 x 1 = 32
LCM(672,256) = ( 672 × 256 ) / 32
LCM(672,256) = 172032 / 32
LCM(672,256) = 5376
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 586/672, 9155/256?
Answer: GCF of Numerators as per given numbers 586/672, 9155/256 is
GCF of Numerators i.e. for 586,9155 is 1
LCM of denominators i.e. for 672,256 is 5376.
Thus, GCF of Fractions is 1/5376.Finally, GCF of Fractions for 586/672, 9155/256 is 1/5376.