GCF of 398/215, 796/164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 398/215, 796/164 i.e 398/35260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 398/215, 796/164.
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 398/215,796/164?
Given fractions are 398/215,796/164
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 398/215,796/164, numerators are 398,796
Denominators are 215,164
The GCF of 398,796 is 398 .
LCM of 215,164 is 35260.
The greatest common factor of 398/215,796/164 = [GCF of 398,796]/[LCM of 215,164]= 398/35260
Therefore, the GCF of 398/215,796/164 is 398/35260.
To find the highest common factor of 398,796, we have to find the factors of both numbers and list the highest common factor.
The factors of 398 are 1, 2, 199, 398
The factors of 796 are 1, 2, 4, 199, 398, 796
The HCF of 398,796 is 398.
Lets's calculate GCF of 398,796
| 2 | 398, 796 |
| 199 | 199, 398 |
| 1, 2 |
∴ So the GCF of the given numbers is 2 x 199 = 398
Greatest Common Factor of 398,796 By Matching Biggest Common Factor Method
Now, list down the factors of 398
:1,2,199,398
Now, list down the factors of 796
:1,2,4,199,398,796
Greatest Common Factor
We found the factors 398,796 . The biggest common factor number is the GCF number.
So the greatest common factor 398,796 is 398.
Lets's calculate LCM of 215,164
Given numbers has no common factors except 1. So, there LCM is their product i.e 35260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 398/35260
Therefore, the GCF of Fractions 398/215,796/164 is 398/35260
Least Common Multiple of 215,164 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 215,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,164) x common factors =1 x 1 = 1
LCM(215,164) = ( 215 × 164 ) / 1
LCM(215,164) = 35260 / 1
LCM(215,164) = 35260
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 398/215, 796/164
1. What is the HCF of 398,796?
The HCF of 398,796 is 398
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 398/215, 796/164?
Answer: GCF of Numerators as per given numbers 398/215, 796/164 is
GCF of Numerators i.e. for 398,796 is 398
LCM of denominators i.e. for 215,164 is 35260.
Thus, GCF of Fractions is 398/35260.Finally, GCF of Fractions for 398/215, 796/164 is 398/35260.