Use our free GCF of Fractions Calculator tool to compute the GCF of 725/508, 542/319 i.e 1/162052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 725/508, 542/319.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 725/508,542/319
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 725/508,542/319, numerators are 725,542
Denominators are 508,319
The GCF of 725,542 is 1 .
LCM of 508,319 is 162052.
The greatest common factor of 725/508,542/319 = [GCF of 725,542]/[LCM of 508,319]= 1/162052
Therefore, the GCF of 725/508,542/319 is 1/162052.
To find the highest common factor of 725,542, 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 542 are 1, 2, 271, 542
The HCF of 725,542 is 1.
Lets's calculate GCF of 725,542
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 725
:1,5,25,29,145,725
Now, list down the factors of 542
:1,2,271,542
Greatest Common Factor
We found the factors 725,542 . The biggest common factor number is the GCF number.
So the greatest common factor 725,542 is 1.
Lets's calculate LCM of 508,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 162052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162052
Therefore, the GCF of Fractions 725/508,542/319 is 1/162052
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 508,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(508,319) x common factors =1 x 1 = 1
LCM(508,319) = ( 508 × 319 ) / 1
LCM(508,319) = 162052 / 1
LCM(508,319) = 162052
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 725,542?
The HCF of 725,542 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 725/508, 542/319?
Answer: GCF of Numerators as per given numbers 725/508, 542/319 is
GCF of Numerators i.e. for 725,542 is 1
LCM of denominators i.e. for 508,319 is 162052.
Thus, GCF of Fractions is 1/162052.Finally, GCF of Fractions for 725/508, 542/319 is 1/162052.