Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/48,12/23,79/64,42/860
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 68,12,79,42
Greatest Common Factor of Numerators i.e. GCF of 68,12,79,42 is 1 .
LCM of Denominators means LCM of 48,23,64,860 as per the given fractions.
LCM of 48,23,64,860 is 949440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 68,12,79,42
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Greatest Common Factor
We found the factors 68,12,79,42 . The biggest common factor number is the GCF number.
So the greatest common factor 68,12,79,42 is 1.
Lets's calculate LCM of 48,23,64,860
2 | 48, 23, 64, 860 |
2 | 24, 23, 32, 430 |
2 | 12, 23, 16, 215 |
2 | 6, 23, 8, 215 |
3, 23, 4, 215 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 23 x 4 x 215 = 949440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/949440
Therefore, the GCF of Fractions 68/48,12/23,79/64,42/860 is 1/949440
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 48,23,64,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,23,64,860) = 1
common factors(in case of two or more numbers have common factors) = 64
GCF(48,23,64,860) x common factors =1 x 64 = 64
LCM(48,23,64,860) = ( 48 × 23 × 64 × 860 ) / 64
LCM(48,23,64,860) = 60764160 / 64
LCM(48,23,64,860) = 949440
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 68/48, 12/23, 79/64, 42/860?
Answer: GCF of Numerators as per given numbers 68/48, 12/23, 79/64, 42/860 is
GCF of Numerators i.e. for 68,12,79,42 is 1
LCM of denominators i.e. for 48,23,64,860 is 949440.
Thus, GCF of Fractions is 1/949440.Finally, GCF of Fractions for 68/48, 12/23, 79/64, 42/860 is 1/949440.