Use our free GCF of Fractions Calculator tool to compute the GCF of 720/999, 129/613 i.e 3/612387 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/999, 129/613.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 720/999,129/613
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 720/999,129/613, numerators are 720,129
Denominators are 999,613
The GCF of 720,129 is 3 .
LCM of 999,613 is 612387.
The greatest common factor of 720/999,129/613 = [GCF of 720,129]/[LCM of 999,613]= 3/612387
Therefore, the GCF of 720/999,129/613 is 3/612387.
To find the highest common factor of 720,129, we have to find the factors of both numbers and list the highest common factor.
The factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
The factors of 129 are 1, 3, 43, 129
The HCF of 720,129 is 3.
Lets's calculate GCF of 720,129
3 | 720, 129 |
240, 43 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 720
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Now, list down the factors of 129
:1,3,43,129
Greatest Common Factor
We found the factors 720,129 . The biggest common factor number is the GCF number.
So the greatest common factor 720,129 is 3.
Lets's calculate LCM of 999,613
Given numbers has no common factors except 1. So, there LCM is their product i.e 612387
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/612387
Therefore, the GCF of Fractions 720/999,129/613 is 3/612387
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 999,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(999,613) x common factors =1 x 1 = 1
LCM(999,613) = ( 999 × 613 ) / 1
LCM(999,613) = 612387 / 1
LCM(999,613) = 612387
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 720,129?
The HCF of 720,129 is 3
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 720/999, 129/613?
Answer: GCF of Numerators as per given numbers 720/999, 129/613 is
GCF of Numerators i.e. for 720,129 is 3
LCM of denominators i.e. for 999,613 is 612387.
Thus, GCF of Fractions is 3/612387.Finally, GCF of Fractions for 720/999, 129/613 is 3/612387.