GCF of 203/32, 183/61, 728/18
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 203/32, 183/61, 728/18 i.e 1/17568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 203/32, 183/61, 728/18.
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 203/32,183/61,728/18?
Given fractions are 203/32,183/61,728/18
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 203/32,183/61,728/18, numerators are 203,183,728
Denominators are 32,61,18
The GCF of 203,183,728 is 1 .
LCM of 32,61,18 is 17568.
The greatest common factor of 203/32,183/61,728/18 = [GCF of 203,183,728]/[LCM of 32,61,18]= 1/17568
Therefore, the GCF of 203/32,183/61,728/18 is 1/17568.
To find the highest common factor of 203,183,728, we have to find the factors of both numbers and list the highest common factor.
The factors of 203 are 1, 7, 29, 203
The factors of 183 are 1, 3, 61, 183
The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The HCF of 203,183,728 is 1.
Lets's calculate GCF of 203,183,728
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 203,183,728 By Matching Biggest Common Factor Method
Now, list down the factors of 203
:1,7,29,203
Now, list down the factors of 183
:1,3,61,183
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 203,183,728 . The biggest common factor number is the GCF number.
So the greatest common factor 203,183,728 is 1.
Lets's calculate LCM of 32,61,18
| 2 | 32, 61, 18 |
| 16, 61, 9 |
∴ So the LCM of the given numbers is 2 x 16 x 61 x 9 = 17568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17568
Therefore, the GCF of Fractions 203/32,183/61,728/18 is 1/17568
Least Common Multiple of 32,61,18 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 32,61,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,61,18) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(32,61,18) x common factors =1 x 2 = 2
LCM(32,61,18) = ( 32 × 61 × 18 ) / 2
LCM(32,61,18) = 35136 / 2
LCM(32,61,18) = 17568
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FAQs on GCF of Fractions of 203/32, 183/61, 728/18
1. What is the HCF of 203,183,728?
The HCF of 203,183,728 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 203/32, 183/61, 728/18?
Answer: GCF of Numerators as per given numbers 203/32, 183/61, 728/18 is
GCF of Numerators i.e. for 203,183,728 is 1
LCM of denominators i.e. for 32,61,18 is 17568.
Thus, GCF of Fractions is 1/17568.Finally, GCF of Fractions for 203/32, 183/61, 728/18 is 1/17568.