GCF of 5793/393, 1729/2949
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5793/393, 1729/2949 i.e 1/386319 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5793/393, 1729/2949.
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 5793/393,1729/2949?
Given fractions are 5793/393,1729/2949
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 5793/393,1729/2949, numerators are 5793,1729
Denominators are 393,2949
The GCF of 5793,1729 is 1 .
LCM of 393,2949 is 386319.
The greatest common factor of 5793/393,1729/2949 = [GCF of 5793,1729]/[LCM of 393,2949]= 1/386319
Therefore, the GCF of 5793/393,1729/2949 is 1/386319.
To find the highest common factor of 5793,1729, we have to find the factors of both numbers and list the highest common factor.
The factors of 5793 are 1, 3, 1931, 5793
The factors of 1729 are 1, 7, 13, 19, 91, 133, 247, 1729
The HCF of 5793,1729 is 1.
Lets's calculate GCF of 5793,1729
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5793,1729 By Matching Biggest Common Factor Method
Now, list down the factors of 5793
:1,3,1931,5793
Now, list down the factors of 1729
:1,7,13,19,91,133,247,1729
Greatest Common Factor
We found the factors 5793,1729 . The biggest common factor number is the GCF number.
So the greatest common factor 5793,1729 is 1.
Lets's calculate LCM of 393,2949
| 3 | 393, 2949 |
| 131, 983 |
∴ So the LCM of the given numbers is 3 x 131 x 983 = 386319
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386319
Therefore, the GCF of Fractions 5793/393,1729/2949 is 1/386319
Least Common Multiple of 393,2949 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 393,2949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(393,2949) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(393,2949) x common factors =3 x 1 = 3
LCM(393,2949) = ( 393 × 2949 ) / 3
LCM(393,2949) = 1158957 / 3
LCM(393,2949) = 386319
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FAQs on GCF of Fractions of 5793/393, 1729/2949
1. What is the HCF of 5793,1729?
The HCF of 5793,1729 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 5793/393, 1729/2949?
Answer: GCF of Numerators as per given numbers 5793/393, 1729/2949 is
GCF of Numerators i.e. for 5793,1729 is 1
LCM of denominators i.e. for 393,2949 is 386319.
Thus, GCF of Fractions is 1/386319.Finally, GCF of Fractions for 5793/393, 1729/2949 is 1/386319.