GCF of 14/172, 83/222, 666/122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 14/172, 83/222, 666/122 i.e 1/1164612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/172, 83/222, 666/122.
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 14/172,83/222,666/122?
Given fractions are 14/172,83/222,666/122
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 14/172,83/222,666/122, numerators are 14,83,666
Denominators are 172,222,122
The GCF of 14,83,666 is 1 .
LCM of 172,222,122 is 1164612.
The greatest common factor of 14/172,83/222,666/122 = [GCF of 14,83,666]/[LCM of 172,222,122]= 1/1164612
Therefore, the GCF of 14/172,83/222,666/122 is 1/1164612.
To find the highest common factor of 14,83,666, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 83 are 1, 83
The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
The HCF of 14,83,666 is 1.
Lets's calculate GCF of 14,83,666
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 14,83,666 By Matching Biggest Common Factor Method
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 83
:1,83
Now, list down the factors of 666
:1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 14,83,666 . The biggest common factor number is the GCF number.
So the greatest common factor 14,83,666 is 1.
Lets's calculate LCM of 172,222,122
| 2 | 172, 222, 122 |
| 86, 111, 61 |
∴ So the LCM of the given numbers is 2 x 86 x 111 x 61 = 1164612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1164612
Therefore, the GCF of Fractions 14/172,83/222,666/122 is 1/1164612
Least Common Multiple of 172,222,122 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 172,222,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,222,122) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(172,222,122) x common factors =2 x 2 = 4
LCM(172,222,122) = ( 172 × 222 × 122 ) / 4
LCM(172,222,122) = 4658448 / 4
LCM(172,222,122) = 1164612
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FAQs on GCF of Fractions of 14/172, 83/222, 666/122
1. What is the HCF of 14,83,666?
The HCF of 14,83,666 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 14/172, 83/222, 666/122?
Answer: GCF of Numerators as per given numbers 14/172, 83/222, 666/122 is
GCF of Numerators i.e. for 14,83,666 is 1
LCM of denominators i.e. for 172,222,122 is 1164612.
Thus, GCF of Fractions is 1/1164612.Finally, GCF of Fractions for 14/172, 83/222, 666/122 is 1/1164612.