Use our free GCF of Fractions Calculator tool to compute the GCF of 725/241, 280/486 i.e 5/117126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 725/241, 280/486.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 725/241,280/486
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 725/241,280/486, numerators are 725,280
Denominators are 241,486
The GCF of 725,280 is 5 .
LCM of 241,486 is 117126.
The greatest common factor of 725/241,280/486 = [GCF of 725,280]/[LCM of 241,486]= 5/117126
Therefore, the GCF of 725/241,280/486 is 5/117126.
To find the highest common factor of 725,280, we have to find the factors of both numbers and list the highest common factor.
The factors of 725 are 1, 5, 25, 29, 145, 725
The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
The HCF of 725,280 is 5.
Lets's calculate GCF of 725,280
5 | 725, 280 |
145, 56 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 725
:1,5,25,29,145,725
Now, list down the factors of 280
:1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 725,280 . The biggest common factor number is the GCF number.
So the greatest common factor 725,280 is 5.
Lets's calculate LCM of 241,486
Given numbers has no common factors except 1. So, there LCM is their product i.e 117126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/117126
Therefore, the GCF of Fractions 725/241,280/486 is 5/117126
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 241,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,486) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,486) x common factors =1 x 1 = 1
LCM(241,486) = ( 241 × 486 ) / 1
LCM(241,486) = 117126 / 1
LCM(241,486) = 117126
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 725,280?
The HCF of 725,280 is 5
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 725/241, 280/486?
Answer: GCF of Numerators as per given numbers 725/241, 280/486 is
GCF of Numerators i.e. for 725,280 is 5
LCM of denominators i.e. for 241,486 is 117126.
Thus, GCF of Fractions is 5/117126.Finally, GCF of Fractions for 725/241, 280/486 is 5/117126.