GCF of 326/83, 163/435
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 326/83, 163/435 i.e 163/36105 easily. The following is the detailed procedure to determine the greatest common factor of fractions 326/83, 163/435.
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 326/83,163/435?
Given fractions are 326/83,163/435
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 326/83,163/435, numerators are 326,163
Denominators are 83,435
The GCF of 326,163 is 163 .
LCM of 83,435 is 36105.
The greatest common factor of 326/83,163/435 = [GCF of 326,163]/[LCM of 83,435]= 163/36105
Therefore, the GCF of 326/83,163/435 is 163/36105.
To find the highest common factor of 326,163, we have to find the factors of both numbers and list the highest common factor.
The factors of 326 are 1, 2, 163, 326
The factors of 163 are 1, 163
The HCF of 326,163 is 163.
Lets's calculate GCF of 326,163
| 163 | 326, 163 |
| 2, 1 |
∴ So the GCF of the given numbers is 163 = 163
Greatest Common Factor of 326,163 By Matching Biggest Common Factor Method
Now, list down the factors of 326
:1,2,163,326
Now, list down the factors of 163
:1,163
Greatest Common Factor
We found the factors 326,163 . The biggest common factor number is the GCF number.
So the greatest common factor 326,163 is 163.
Lets's calculate LCM of 83,435
Given numbers has no common factors except 1. So, there LCM is their product i.e 36105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 163/36105
Therefore, the GCF of Fractions 326/83,163/435 is 163/36105
Least Common Multiple of 83,435 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 83,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,435) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,435) x common factors =1 x 1 = 1
LCM(83,435) = ( 83 × 435 ) / 1
LCM(83,435) = 36105 / 1
LCM(83,435) = 36105
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FAQs on GCF of Fractions of 326/83, 163/435
1. What is the HCF of 326,163?
The HCF of 326,163 is 163
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 326/83, 163/435?
Answer: GCF of Numerators as per given numbers 326/83, 163/435 is
GCF of Numerators i.e. for 326,163 is 163
LCM of denominators i.e. for 83,435 is 36105.
Thus, GCF of Fractions is 163/36105.Finally, GCF of Fractions for 326/83, 163/435 is 163/36105.