GCF of 28/16, 29/32, 342/631
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/16, 29/32, 342/631 i.e 1/20192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/16, 29/32, 342/631.
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 28/16,29/32,342/631?
Given fractions are 28/16,29/32,342/631
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 28/16,29/32,342/631, numerators are 28,29,342
Denominators are 16,32,631
The GCF of 28,29,342 is 1 .
LCM of 16,32,631 is 20192.
The greatest common factor of 28/16,29/32,342/631 = [GCF of 28,29,342]/[LCM of 16,32,631]= 1/20192
Therefore, the GCF of 28/16,29/32,342/631 is 1/20192.
To find the highest common factor of 28,29,342, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 29 are 1, 29
The factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
The HCF of 28,29,342 is 1.
Lets's calculate GCF of 28,29,342
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 28,29,342 By Matching Biggest Common Factor Method
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 29
:1,29
Now, list down the factors of 342
:1,2,3,6,9,18,19,38,57,114,171,342
Greatest Common Factor
We found the factors 28,29,342 . The biggest common factor number is the GCF number.
So the greatest common factor 28,29,342 is 1.
Lets's calculate LCM of 16,32,631
| 2 | 16, 32, 631 |
| 2 | 8, 16, 631 |
| 2 | 4, 8, 631 |
| 2 | 2, 4, 631 |
| 1, 2, 631 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 2 x 631 = 20192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20192
Therefore, the GCF of Fractions 28/16,29/32,342/631 is 1/20192
Least Common Multiple of 16,32,631 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 16,32,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,32,631) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(16,32,631) x common factors =1 x 16 = 16
LCM(16,32,631) = ( 16 × 32 × 631 ) / 16
LCM(16,32,631) = 323072 / 16
LCM(16,32,631) = 20192
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 28/16, 29/32, 342/631
1. What is the HCF of 28,29,342?
The HCF of 28,29,342 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 28/16, 29/32, 342/631?
Answer: GCF of Numerators as per given numbers 28/16, 29/32, 342/631 is
GCF of Numerators i.e. for 28,29,342 is 1
LCM of denominators i.e. for 16,32,631 is 20192.
Thus, GCF of Fractions is 1/20192.Finally, GCF of Fractions for 28/16, 29/32, 342/631 is 1/20192.