Use our free GCF of Fractions Calculator tool to compute the GCF of 4725/513, 4181/7506 i.e 1/142614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4725/513, 4181/7506.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4725/513,4181/7506
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 4725/513,4181/7506, numerators are 4725,4181
Denominators are 513,7506
The GCF of 4725,4181 is 1 .
LCM of 513,7506 is 142614.
The greatest common factor of 4725/513,4181/7506 = [GCF of 4725,4181]/[LCM of 513,7506]= 1/142614
Therefore, the GCF of 4725/513,4181/7506 is 1/142614.
To find the highest common factor of 4725,4181, we have to find the factors of both numbers and list the highest common factor.
The factors of 4725 are 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575, 4725
The factors of 4181 are 1, 37, 113, 4181
The HCF of 4725,4181 is 1.
Lets's calculate GCF of 4725,4181
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4725
:1,3,5,7,9,15,21,25,27,35,45,63,75,105,135,175,189,225,315,525,675,945,1575,4725
Now, list down the factors of 4181
:1,37,113,4181
Greatest Common Factor
We found the factors 4725,4181 . The biggest common factor number is the GCF number.
So the greatest common factor 4725,4181 is 1.
Lets's calculate LCM of 513,7506
3 | 513, 7506 |
3 | 171, 2502 |
3 | 57, 834 |
19, 278 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 19 x 278 = 142614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142614
Therefore, the GCF of Fractions 4725/513,4181/7506 is 1/142614
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 513,7506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,7506) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(513,7506) x common factors =27 x 1 = 27
LCM(513,7506) = ( 513 × 7506 ) / 27
LCM(513,7506) = 3850578 / 27
LCM(513,7506) = 142614
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4725,4181?
The HCF of 4725,4181 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 4725/513, 4181/7506?
Answer: GCF of Numerators as per given numbers 4725/513, 4181/7506 is
GCF of Numerators i.e. for 4725,4181 is 1
LCM of denominators i.e. for 513,7506 is 142614.
Thus, GCF of Fractions is 1/142614.Finally, GCF of Fractions for 4725/513, 4181/7506 is 1/142614.