GCF of 81/22, 86/160, 108/316
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 81/22, 86/160, 108/316 i.e 1/139040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/22, 86/160, 108/316.
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 81/22,86/160,108/316?
Given fractions are 81/22,86/160,108/316
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 81/22,86/160,108/316, numerators are 81,86,108
Denominators are 22,160,316
The GCF of 81,86,108 is 1 .
LCM of 22,160,316 is 139040.
The greatest common factor of 81/22,86/160,108/316 = [GCF of 81,86,108]/[LCM of 22,160,316]= 1/139040
Therefore, the GCF of 81/22,86/160,108/316 is 1/139040.
To find the highest common factor of 81,86,108, 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 86 are 1, 2, 43, 86
The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
The HCF of 81,86,108 is 1.
Lets's calculate GCF of 81,86,108
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 81,86,108 By Matching Biggest Common Factor Method
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 108
:1,2,3,4,6,9,12,18,27,36,54,108
Greatest Common Factor
We found the factors 81,86,108 . The biggest common factor number is the GCF number.
So the greatest common factor 81,86,108 is 1.
Lets's calculate LCM of 22,160,316
| 2 | 22, 160, 316 |
| 2 | 11, 80, 158 |
| 11, 40, 79 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 40 x 79 = 139040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139040
Therefore, the GCF of Fractions 81/22,86/160,108/316 is 1/139040
Least Common Multiple of 22,160,316 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 22,160,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,160,316) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(22,160,316) x common factors =2 x 4 = 8
LCM(22,160,316) = ( 22 × 160 × 316 ) / 8
LCM(22,160,316) = 1112320 / 8
LCM(22,160,316) = 139040
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FAQs on GCF of Fractions of 81/22, 86/160, 108/316
1. What is the HCF of 81,86,108?
The HCF of 81,86,108 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 81/22, 86/160, 108/316?
Answer: GCF of Numerators as per given numbers 81/22, 86/160, 108/316 is
GCF of Numerators i.e. for 81,86,108 is 1
LCM of denominators i.e. for 22,160,316 is 139040.
Thus, GCF of Fractions is 1/139040.Finally, GCF of Fractions for 81/22, 86/160, 108/316 is 1/139040.