Use our free GCF of Fractions Calculator tool to compute the GCF of 13/738, 628/712, 621/253 i.e 1/66470184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/738, 628/712, 621/253.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/738,628/712,621/253
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 13/738,628/712,621/253, numerators are 13,628,621
Denominators are 738,712,253
The GCF of 13,628,621 is 1 .
LCM of 738,712,253 is 66470184.
The greatest common factor of 13/738,628/712,621/253 = [GCF of 13,628,621]/[LCM of 738,712,253]= 1/66470184
Therefore, the GCF of 13/738,628/712,621/253 is 1/66470184.
To find the highest common factor of 13,628,621, we have to find the factors of both numbers and list the highest common factor.
The factors of 13 are 1, 13
The factors of 628 are 1, 2, 4, 157, 314, 628
The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621
The HCF of 13,628,621 is 1.
Lets's calculate GCF of 13,628,621
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 13
:1,13
Now, list down the factors of 628
:1,2,4,157,314,628
Now, list down the factors of 621
:1,3,9,23,27,69,207,621
Greatest Common Factor
We found the factors 13,628,621 . The biggest common factor number is the GCF number.
So the greatest common factor 13,628,621 is 1.
Lets's calculate LCM of 738,712,253
2 | 738, 712, 253 |
369, 356, 253 |
∴ So the LCM of the given numbers is 2 x 369 x 356 x 253 = 66470184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66470184
Therefore, the GCF of Fractions 13/738,628/712,621/253 is 1/66470184
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 738,712,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,712,253) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(738,712,253) x common factors =1 x 2 = 2
LCM(738,712,253) = ( 738 × 712 × 253 ) / 2
LCM(738,712,253) = 132940368 / 2
LCM(738,712,253) = 66470184
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 13,628,621?
The HCF of 13,628,621 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 13/738, 628/712, 621/253?
Answer: GCF of Numerators as per given numbers 13/738, 628/712, 621/253 is
GCF of Numerators i.e. for 13,628,621 is 1
LCM of denominators i.e. for 738,712,253 is 66470184.
Thus, GCF of Fractions is 1/66470184.Finally, GCF of Fractions for 13/738, 628/712, 621/253 is 1/66470184.