Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 192/22,128/7054
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 192,128
Greatest Common Factor of Numerators i.e. GCF of 192,128 is 64 .
LCM of Denominators means LCM of 22,7054 as per the given fractions.
LCM of 22,7054 is 77594 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 192,128
2 | 192, 128 |
2 | 96, 64 |
2 | 48, 32 |
2 | 24, 16 |
2 | 12, 8 |
2 | 6, 4 |
3, 2 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64
Factors of 192
List of positive integer factors of 192 that divides 192 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,192
Factors of 128
List of positive integer factors of 128 that divides 128 without a remainder.
1,2,4,8,16,32,64,128
Greatest Common Factor
We found the factors 192,128 . The biggest common factor number is the GCF number.
So the greatest common factor 192,128 is 64.
Lets's calculate LCM of 22,7054
2 | 22, 7054 |
11, 3527 |
∴ So the LCM of the given numbers is 2 x 11 x 3527 = 77594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/77594
Therefore, the GCF of Fractions 192/22,128/7054 is 64/77594
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 22,7054 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,7054) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(22,7054) x common factors =2 x 1 = 2
LCM(22,7054) = ( 22 × 7054 ) / 2
LCM(22,7054) = 155188 / 2
LCM(22,7054) = 77594
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 192/22, 128/7054?
Answer: GCF of Numerators as per given numbers 192/22, 128/7054 is
GCF of Numerators i.e. for 192,128 is 64
LCM of denominators i.e. for 22,7054 is 77594.
Thus, GCF of Fractions is 64/77594.Finally, GCF of Fractions for 192/22, 128/7054 is 64/77594.