Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/179,752/954,244/384
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 13,752,244
Greatest Common Factor of Numerators i.e. GCF of 13,752,244 is 1 .
LCM of Denominators means LCM of 179,954,384 as per the given fractions.
LCM of 179,954,384 is 10929024 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 13,752,244
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Greatest Common Factor
We found the factors 13,752,244 . The biggest common factor number is the GCF number.
So the greatest common factor 13,752,244 is 1.
Lets's calculate LCM of 179,954,384
2 | 179, 954, 384 |
3 | 179, 477, 192 |
179, 159, 64 |
∴ So the LCM of the given numbers is 2 x 3 x 179 x 159 x 64 = 10929024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10929024
Therefore, the GCF of Fractions 13/179,752/954,244/384 is 1/10929024
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 179,954,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,954,384) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(179,954,384) x common factors =1 x 6 = 6
LCM(179,954,384) = ( 179 × 954 × 384 ) / 6
LCM(179,954,384) = 65574144 / 6
LCM(179,954,384) = 10929024
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 13/179, 752/954, 244/384?
Answer: GCF of Numerators as per given numbers 13/179, 752/954, 244/384 is
GCF of Numerators i.e. for 13,752,244 is 1
LCM of denominators i.e. for 179,954,384 is 10929024.
Thus, GCF of Fractions is 1/10929024.Finally, GCF of Fractions for 13/179, 752/954, 244/384 is 1/10929024.