GCF of 815/162, 9617/144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 815/162, 9617/144 i.e 163/1296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 815/162, 9617/144.
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 815/162,9617/144?
Given fractions are 815/162,9617/144
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 815/162,9617/144, numerators are 815,9617
Denominators are 162,144
The GCF of 815,9617 is 163 .
LCM of 162,144 is 1296.
The greatest common factor of 815/162,9617/144 = [GCF of 815,9617]/[LCM of 162,144]= 163/1296
Therefore, the GCF of 815/162,9617/144 is 163/1296.
To find the highest common factor of 815,9617, we have to find the factors of both numbers and list the highest common factor.
The factors of 815 are 1, 5, 163, 815
The factors of 9617 are 1, 59, 163, 9617
The HCF of 815,9617 is 163.
Lets's calculate GCF of 815,9617
| 163 | 815, 9617 |
| 5, 59 |
∴ So the GCF of the given numbers is 163 = 163
Greatest Common Factor of 815,9617 By Matching Biggest Common Factor Method
Now, list down the factors of 815
:1,5,163,815
Now, list down the factors of 9617
:1,59,163,9617
Greatest Common Factor
We found the factors 815,9617 . The biggest common factor number is the GCF number.
So the greatest common factor 815,9617 is 163.
Lets's calculate LCM of 162,144
| 2 | 162, 144 |
| 3 | 81, 72 |
| 3 | 27, 24 |
| 9, 8 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 9 x 8 = 1296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 163/1296
Therefore, the GCF of Fractions 815/162,9617/144 is 163/1296
Least Common Multiple of 162,144 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 162,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,144) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(162,144) x common factors =18 x 1 = 18
LCM(162,144) = ( 162 × 144 ) / 18
LCM(162,144) = 23328 / 18
LCM(162,144) = 1296
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FAQs on GCF of Fractions of 815/162, 9617/144
1. What is the HCF of 815,9617?
The HCF of 815,9617 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 815/162, 9617/144?
Answer: GCF of Numerators as per given numbers 815/162, 9617/144 is
GCF of Numerators i.e. for 815,9617 is 163
LCM of denominators i.e. for 162,144 is 1296.
Thus, GCF of Fractions is 163/1296.Finally, GCF of Fractions for 815/162, 9617/144 is 163/1296.