GCF of 4493/192, 4592/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4493/192, 4592/418 i.e 1/40128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4493/192, 4592/418.
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 4493/192,4592/418?
Given fractions are 4493/192,4592/418
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 4493/192,4592/418, numerators are 4493,4592
Denominators are 192,418
The GCF of 4493,4592 is 1 .
LCM of 192,418 is 40128.
The greatest common factor of 4493/192,4592/418 = [GCF of 4493,4592]/[LCM of 192,418]= 1/40128
Therefore, the GCF of 4493/192,4592/418 is 1/40128.
To find the highest common factor of 4493,4592, we have to find the factors of both numbers and list the highest common factor.
The factors of 4493 are 1, 4493
The factors of 4592 are 1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296, 4592
The HCF of 4493,4592 is 1.
Lets's calculate GCF of 4493,4592
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4493,4592 By Matching Biggest Common Factor Method
Now, list down the factors of 4493
:1,4493
Now, list down the factors of 4592
:1,2,4,7,8,14,16,28,41,56,82,112,164,287,328,574,656,1148,2296,4592
Greatest Common Factor
We found the factors 4493,4592 . The biggest common factor number is the GCF number.
So the greatest common factor 4493,4592 is 1.
Lets's calculate LCM of 192,418
| 2 | 192, 418 |
| 96, 209 |
∴ So the LCM of the given numbers is 2 x 96 x 209 = 40128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40128
Therefore, the GCF of Fractions 4493/192,4592/418 is 1/40128
Least Common Multiple of 192,418 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 192,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(192,418) x common factors =2 x 1 = 2
LCM(192,418) = ( 192 × 418 ) / 2
LCM(192,418) = 80256 / 2
LCM(192,418) = 40128
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FAQs on GCF of Fractions of 4493/192, 4592/418
1. What is the HCF of 4493,4592?
The HCF of 4493,4592 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 4493/192, 4592/418?
Answer: GCF of Numerators as per given numbers 4493/192, 4592/418 is
GCF of Numerators i.e. for 4493,4592 is 1
LCM of denominators i.e. for 192,418 is 40128.
Thus, GCF of Fractions is 1/40128.Finally, GCF of Fractions for 4493/192, 4592/418 is 1/40128.