GCF of 460/326, 115/163
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 460/326, 115/163 i.e 115/326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 460/326, 115/163.
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 460/326,115/163?
Given fractions are 460/326,115/163
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 460/326,115/163, numerators are 460,115
Denominators are 326,163
The GCF of 460,115 is 115 .
LCM of 326,163 is 326.
The greatest common factor of 460/326,115/163 = [GCF of 460,115]/[LCM of 326,163]= 115/326
Therefore, the GCF of 460/326,115/163 is 115/326.
To find the highest common factor of 460,115, we have to find the factors of both numbers and list the highest common factor.
The factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
The factors of 115 are 1, 5, 23, 115
The HCF of 460,115 is 115.
Lets's calculate GCF of 460,115
| 5 | 460, 115 |
| 23 | 92, 23 |
| 4, 1 |
∴ So the GCF of the given numbers is 5 x 23 = 115
Greatest Common Factor of 460,115 By Matching Biggest Common Factor Method
Now, list down the factors of 460
:1,2,4,5,10,20,23,46,92,115,230,460
Now, list down the factors of 115
:1,5,23,115
Greatest Common Factor
We found the factors 460,115 . The biggest common factor number is the GCF number.
So the greatest common factor 460,115 is 115.
Lets's calculate LCM of 326,163
| 163 | 326, 163 |
| 2, 1 |
∴ So the LCM of the given numbers is 163 x 2 x 1 = 326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 115/326
Therefore, the GCF of Fractions 460/326,115/163 is 115/326
Least Common Multiple of 326,163 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 326,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,163) = 163
common factors(in case of two or more numbers have common factors) = 1
GCF(326,163) x common factors =163 x 1 = 163
LCM(326,163) = ( 326 × 163 ) / 163
LCM(326,163) = 53138 / 163
LCM(326,163) = 326
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FAQs on GCF of Fractions of 460/326, 115/163
1. What is the HCF of 460,115?
The HCF of 460,115 is 115
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 460/326, 115/163?
Answer: GCF of Numerators as per given numbers 460/326, 115/163 is
GCF of Numerators i.e. for 460,115 is 115
LCM of denominators i.e. for 326,163 is 326.
Thus, GCF of Fractions is 115/326.Finally, GCF of Fractions for 460/326, 115/163 is 115/326.