Use our free GCF of Fractions Calculator tool to compute the GCF of 425/388, 513/280 i.e 1/27160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 425/388, 513/280.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 425/388,513/280
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 425/388,513/280, numerators are 425,513
Denominators are 388,280
The GCF of 425,513 is 1 .
LCM of 388,280 is 27160.
The greatest common factor of 425/388,513/280 = [GCF of 425,513]/[LCM of 388,280]= 1/27160
Therefore, the GCF of 425/388,513/280 is 1/27160.
To find the highest common factor of 425,513, we have to find the factors of both numbers and list the highest common factor.
The factors of 425 are 1, 5, 17, 25, 85, 425
The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513
The HCF of 425,513 is 1.
Lets's calculate GCF of 425,513
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 425
:1,5,17,25,85,425
Now, list down the factors of 513
:1,3,9,19,27,57,171,513
Greatest Common Factor
We found the factors 425,513 . The biggest common factor number is the GCF number.
So the greatest common factor 425,513 is 1.
Lets's calculate LCM of 388,280
2 | 388, 280 |
2 | 194, 140 |
97, 70 |
∴ So the LCM of the given numbers is 2 x 2 x 97 x 70 = 27160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27160
Therefore, the GCF of Fractions 425/388,513/280 is 1/27160
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 388,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,280) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(388,280) x common factors =4 x 1 = 4
LCM(388,280) = ( 388 × 280 ) / 4
LCM(388,280) = 108640 / 4
LCM(388,280) = 27160
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 425,513?
The HCF of 425,513 is 1
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 425/388, 513/280?
Answer: GCF of Numerators as per given numbers 425/388, 513/280 is
GCF of Numerators i.e. for 425,513 is 1
LCM of denominators i.e. for 388,280 is 27160.
Thus, GCF of Fractions is 1/27160.Finally, GCF of Fractions for 425/388, 513/280 is 1/27160.