Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/48,362/64,555/67
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 1,362,555
Greatest Common Factor of Numerators i.e. GCF of 1,362,555 is 1 .
LCM of Denominators means LCM of 48,64,67 as per the given fractions.
LCM of 48,64,67 is 12864 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,362,555
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
Factors of 362
List of positive integer factors of 362 that divides 362 without a remainder.
1,2,181,362
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Greatest Common Factor
We found the factors 1,362,555 . The biggest common factor number is the GCF number.
So the greatest common factor 1,362,555 is 1.
Lets's calculate LCM of 48,64,67
2 | 48, 64, 67 |
2 | 24, 32, 67 |
2 | 12, 16, 67 |
2 | 6, 8, 67 |
3, 4, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 4 x 67 = 12864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12864
Therefore, the GCF of Fractions 1/48,362/64,555/67 is 1/12864
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 48,64,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,64,67) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(48,64,67) x common factors =1 x 16 = 16
LCM(48,64,67) = ( 48 × 64 × 67 ) / 16
LCM(48,64,67) = 205824 / 16
LCM(48,64,67) = 12864
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 1/48, 362/64, 555/67?
Answer: GCF of Numerators as per given numbers 1/48, 362/64, 555/67 is
GCF of Numerators i.e. for 1,362,555 is 1
LCM of denominators i.e. for 48,64,67 is 12864.
Thus, GCF of Fractions is 1/12864.Finally, GCF of Fractions for 1/48, 362/64, 555/67 is 1/12864.