GCF of 81/220, 88/682, 163/975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 81/220, 88/682, 163/975 i.e 1/1329900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/220, 88/682, 163/975.
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 81/220,88/682,163/975?
Given fractions are 81/220,88/682,163/975
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 81/220,88/682,163/975, numerators are 81,88,163
Denominators are 220,682,975
The GCF of 81,88,163 is 1 .
LCM of 220,682,975 is 1329900.
The greatest common factor of 81/220,88/682,163/975 = [GCF of 81,88,163]/[LCM of 220,682,975]= 1/1329900
Therefore, the GCF of 81/220,88/682,163/975 is 1/1329900.
To find the highest common factor of 81,88,163, we have to find the factors of both numbers and list the highest common factor.
The factors of 81 are 1, 3, 9, 27, 81
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88
The factors of 163 are 1, 163
The HCF of 81,88,163 is 1.
Lets's calculate GCF of 81,88,163
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 81,88,163 By Matching Biggest Common Factor Method
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 163
:1,163
Greatest Common Factor
We found the factors 81,88,163 . The biggest common factor number is the GCF number.
So the greatest common factor 81,88,163 is 1.
Lets's calculate LCM of 220,682,975
| 2 | 220, 682, 975 |
| 5 | 110, 341, 975 |
| 11 | 22, 341, 195 |
| 2, 31, 195 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 2 x 31 x 195 = 1329900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1329900
Therefore, the GCF of Fractions 81/220,88/682,163/975 is 1/1329900
Least Common Multiple of 220,682,975 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 220,682,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,682,975) = 1
common factors(in case of two or more numbers have common factors) = 110
GCF(220,682,975) x common factors =1 x 110 = 110
LCM(220,682,975) = ( 220 × 682 × 975 ) / 110
LCM(220,682,975) = 146289000 / 110
LCM(220,682,975) = 1329900
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FAQs on GCF of Fractions of 81/220, 88/682, 163/975
1. What is the HCF of 81,88,163?
The HCF of 81,88,163 is 1
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 81/220, 88/682, 163/975?
Answer: GCF of Numerators as per given numbers 81/220, 88/682, 163/975 is
GCF of Numerators i.e. for 81,88,163 is 1
LCM of denominators i.e. for 220,682,975 is 1329900.
Thus, GCF of Fractions is 1/1329900.Finally, GCF of Fractions for 81/220, 88/682, 163/975 is 1/1329900.