Use our free GCF of Fractions Calculator tool to compute the GCF of 72/600, 99/213, 513/445 i.e 9/3791400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 72/600, 99/213, 513/445.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/600,99/213,513/445
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 72/600,99/213,513/445, numerators are 72,99,513
Denominators are 600,213,445
The GCF of 72,99,513 is 9 .
LCM of 600,213,445 is 3791400.
The greatest common factor of 72/600,99/213,513/445 = [GCF of 72,99,513]/[LCM of 600,213,445]= 9/3791400
Therefore, the GCF of 72/600,99/213,513/445 is 9/3791400.
To find the highest common factor of 72,99,513, we have to find the factors of both numbers and list the highest common factor.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513
The HCF of 72,99,513 is 9.
Lets's calculate GCF of 72,99,513
3 | 72, 99, 513 |
3 | 24, 33, 171 |
8, 11, 57 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 513
:1,3,9,19,27,57,171,513
Greatest Common Factor
We found the factors 72,99,513 . The biggest common factor number is the GCF number.
So the greatest common factor 72,99,513 is 9.
Lets's calculate LCM of 600,213,445
3 | 600, 213, 445 |
5 | 200, 71, 445 |
40, 71, 89 |
∴ So the LCM of the given numbers is 3 x 5 x 40 x 71 x 89 = 3791400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/3791400
Therefore, the GCF of Fractions 72/600,99/213,513/445 is 9/3791400
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 600,213,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,213,445) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(600,213,445) x common factors =1 x 15 = 15
LCM(600,213,445) = ( 600 × 213 × 445 ) / 15
LCM(600,213,445) = 56871000 / 15
LCM(600,213,445) = 3791400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 72,99,513?
The HCF of 72,99,513 is 9
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 72/600, 99/213, 513/445?
Answer: GCF of Numerators as per given numbers 72/600, 99/213, 513/445 is
GCF of Numerators i.e. for 72,99,513 is 9
LCM of denominators i.e. for 600,213,445 is 3791400.
Thus, GCF of Fractions is 9/3791400.Finally, GCF of Fractions for 72/600, 99/213, 513/445 is 9/3791400.