Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 458/24,136/16,832/582
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 458,136,832
Greatest Common Factor of Numerators i.e. GCF of 458,136,832 is 2 .
LCM of Denominators means LCM of 24,16,582 as per the given fractions.
LCM of 24,16,582 is 4656 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 458,136,832
2 | 458, 136, 832 |
229, 68, 416 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Greatest Common Factor
We found the factors 458,136,832 . The biggest common factor number is the GCF number.
So the greatest common factor 458,136,832 is 2.
Lets's calculate LCM of 24,16,582
2 | 24, 16, 582 |
2 | 12, 8, 291 |
2 | 6, 4, 291 |
3 | 3, 2, 291 |
1, 2, 97 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 2 x 97 = 4656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4656
Therefore, the GCF of Fractions 458/24,136/16,832/582 is 2/4656
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 24,16,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,16,582) = 2
common factors(in case of two or more numbers have common factors) = 24
GCF(24,16,582) x common factors =2 x 24 = 48
LCM(24,16,582) = ( 24 × 16 × 582 ) / 48
LCM(24,16,582) = 223488 / 48
LCM(24,16,582) = 4656
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 458/24, 136/16, 832/582?
Answer: GCF of Numerators as per given numbers 458/24, 136/16, 832/582 is
GCF of Numerators i.e. for 458,136,832 is 2
LCM of denominators i.e. for 24,16,582 is 4656.
Thus, GCF of Fractions is 2/4656.Finally, GCF of Fractions for 458/24, 136/16, 832/582 is 2/4656.