GCF of 7184/129, 7985/6126
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7184/129, 7985/6126 i.e 1/263418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7184/129, 7985/6126.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7184/129,7985/6126?
Given fractions are 7184/129,7985/6126
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 7184/129,7985/6126, numerators are 7184,7985
Denominators are 129,6126
The GCF of 7184,7985 is 1 .
LCM of 129,6126 is 263418.
The greatest common factor of 7184/129,7985/6126 = [GCF of 7184,7985]/[LCM of 129,6126]= 1/263418
Therefore, the GCF of 7184/129,7985/6126 is 1/263418.
To find the highest common factor of 7184,7985, we have to find the factors of both numbers and list the highest common factor.
The factors of 7184 are 1, 2, 4, 8, 16, 449, 898, 1796, 3592, 7184
The factors of 7985 are 1, 5, 1597, 7985
The HCF of 7184,7985 is 1.
Lets's calculate GCF of 7184,7985
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7184,7985 By Matching Biggest Common Factor Method
Now, list down the factors of 7184
:1,2,4,8,16,449,898,1796,3592,7184
Now, list down the factors of 7985
:1,5,1597,7985
Greatest Common Factor
We found the factors 7184,7985 . The biggest common factor number is the GCF number.
So the greatest common factor 7184,7985 is 1.
Lets's calculate LCM of 129,6126
| 3 | 129, 6126 |
| 43, 2042 |
∴ So the LCM of the given numbers is 3 x 43 x 2042 = 263418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/263418
Therefore, the GCF of Fractions 7184/129,7985/6126 is 1/263418
Least Common Multiple of 129,6126 with GCF Formula
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 129,6126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,6126) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(129,6126) x common factors =3 x 1 = 3
LCM(129,6126) = ( 129 × 6126 ) / 3
LCM(129,6126) = 790254 / 3
LCM(129,6126) = 263418
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7184/129, 7985/6126
1. What is the HCF of 7184,7985?
The HCF of 7184,7985 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 7184/129, 7985/6126?
Answer: GCF of Numerators as per given numbers 7184/129, 7985/6126 is
GCF of Numerators i.e. for 7184,7985 is 1
LCM of denominators i.e. for 129,6126 is 263418.
Thus, GCF of Fractions is 1/263418.Finally, GCF of Fractions for 7184/129, 7985/6126 is 1/263418.