Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 496/86,501/64,775/12
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 496,501,775
Greatest Common Factor of Numerators i.e. GCF of 496,501,775 is 1 .
LCM of Denominators means LCM of 86,64,12 as per the given fractions.
LCM of 86,64,12 is 8256 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 496,501,775
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Greatest Common Factor
We found the factors 496,501,775 . The biggest common factor number is the GCF number.
So the greatest common factor 496,501,775 is 1.
Lets's calculate LCM of 86,64,12
2 | 86, 64, 12 |
2 | 43, 32, 6 |
43, 16, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 16 x 3 = 8256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8256
Therefore, the GCF of Fractions 496/86,501/64,775/12 is 1/8256
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 86,64,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,64,12) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(86,64,12) x common factors =2 x 4 = 8
LCM(86,64,12) = ( 86 × 64 × 12 ) / 8
LCM(86,64,12) = 66048 / 8
LCM(86,64,12) = 8256
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 496/86, 501/64, 775/12?
Answer: GCF of Numerators as per given numbers 496/86, 501/64, 775/12 is
GCF of Numerators i.e. for 496,501,775 is 1
LCM of denominators i.e. for 86,64,12 is 8256.
Thus, GCF of Fractions is 1/8256.Finally, GCF of Fractions for 496/86, 501/64, 775/12 is 1/8256.