GCF of 593/56, 405/456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 593/56, 405/456 i.e 1/3192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 593/56, 405/456.
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 593/56,405/456?
Given fractions are 593/56,405/456
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 593/56,405/456, numerators are 593,405
Denominators are 56,456
The GCF of 593,405 is 1 .
LCM of 56,456 is 3192.
The greatest common factor of 593/56,405/456 = [GCF of 593,405]/[LCM of 56,456]= 1/3192
Therefore, the GCF of 593/56,405/456 is 1/3192.
To find the highest common factor of 593,405, we have to find the factors of both numbers and list the highest common factor.
The factors of 593 are 1, 593
The factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
The HCF of 593,405 is 1.
Lets's calculate GCF of 593,405
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 593,405 By Matching Biggest Common Factor Method
Now, list down the factors of 593
:1,593
Now, list down the factors of 405
:1,3,5,9,15,27,45,81,135,405
Greatest Common Factor
We found the factors 593,405 . The biggest common factor number is the GCF number.
So the greatest common factor 593,405 is 1.
Lets's calculate LCM of 56,456
| 2 | 56, 456 |
| 2 | 28, 228 |
| 2 | 14, 114 |
| 7, 57 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 57 = 3192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3192
Therefore, the GCF of Fractions 593/56,405/456 is 1/3192
Least Common Multiple of 56,456 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 56,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,456) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(56,456) x common factors =8 x 1 = 8
LCM(56,456) = ( 56 × 456 ) / 8
LCM(56,456) = 25536 / 8
LCM(56,456) = 3192
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FAQs on GCF of Fractions of 593/56, 405/456
1. What is the HCF of 593,405?
The HCF of 593,405 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 593/56, 405/456?
Answer: GCF of Numerators as per given numbers 593/56, 405/456 is
GCF of Numerators i.e. for 593,405 is 1
LCM of denominators i.e. for 56,456 is 3192.
Thus, GCF of Fractions is 1/3192.Finally, GCF of Fractions for 593/56, 405/456 is 1/3192.