Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 725/288,174/880
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 725,174
Greatest Common Factor of Numerators i.e. GCF of 725,174 is 29 .
LCM of Denominators means LCM of 288,880 as per the given fractions.
LCM of 288,880 is 15840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 725,174
29 | 725, 174 |
25, 6 |
∴ So the GCF of the given numbers is 29 = 29
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1,5,25,29,145,725
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Greatest Common Factor
We found the factors 725,174 . The biggest common factor number is the GCF number.
So the greatest common factor 725,174 is 29.
Lets's calculate LCM of 288,880
2 | 288, 880 |
2 | 144, 440 |
2 | 72, 220 |
2 | 36, 110 |
18, 55 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 18 x 55 = 15840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/15840
Therefore, the GCF of Fractions 725/288,174/880 is 29/15840
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 288,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,880) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(288,880) x common factors =16 x 1 = 16
LCM(288,880) = ( 288 × 880 ) / 16
LCM(288,880) = 253440 / 16
LCM(288,880) = 15840
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 725/288, 174/880?
Answer: GCF of Numerators as per given numbers 725/288, 174/880 is
GCF of Numerators i.e. for 725,174 is 29
LCM of denominators i.e. for 288,880 is 15840.
Thus, GCF of Fractions is 29/15840.Finally, GCF of Fractions for 725/288, 174/880 is 29/15840.