GCF of 718/324, 842/838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 718/324, 842/838 i.e 2/135756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 718/324, 842/838.
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 718/324,842/838?
Given fractions are 718/324,842/838
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 718/324,842/838, numerators are 718,842
Denominators are 324,838
The GCF of 718,842 is 2 .
LCM of 324,838 is 135756.
The greatest common factor of 718/324,842/838 = [GCF of 718,842]/[LCM of 324,838]= 2/135756
Therefore, the GCF of 718/324,842/838 is 2/135756.
To find the highest common factor of 718,842, we have to find the factors of both numbers and list the highest common factor.
The factors of 718 are 1, 2, 359, 718
The factors of 842 are 1, 2, 421, 842
The HCF of 718,842 is 2.
Lets's calculate GCF of 718,842
| 2 | 718, 842 |
| 359, 421 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 718,842 By Matching Biggest Common Factor Method
Now, list down the factors of 718
:1,2,359,718
Now, list down the factors of 842
:1,2,421,842
Greatest Common Factor
We found the factors 718,842 . The biggest common factor number is the GCF number.
So the greatest common factor 718,842 is 2.
Lets's calculate LCM of 324,838
| 2 | 324, 838 |
| 162, 419 |
∴ So the LCM of the given numbers is 2 x 162 x 419 = 135756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/135756
Therefore, the GCF of Fractions 718/324,842/838 is 2/135756
Least Common Multiple of 324,838 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 324,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,838) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(324,838) x common factors =2 x 1 = 2
LCM(324,838) = ( 324 × 838 ) / 2
LCM(324,838) = 271512 / 2
LCM(324,838) = 135756
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 718/324, 842/838
1. What is the HCF of 718,842?
The HCF of 718,842 is 2
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 718/324, 842/838?
Answer: GCF of Numerators as per given numbers 718/324, 842/838 is
GCF of Numerators i.e. for 718,842 is 2
LCM of denominators i.e. for 324,838 is 135756.
Thus, GCF of Fractions is 2/135756.Finally, GCF of Fractions for 718/324, 842/838 is 2/135756.