GCF of 3693/493, 5781/993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3693/493, 5781/993 i.e 3/489549 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3693/493, 5781/993.
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 3693/493,5781/993?
Given fractions are 3693/493,5781/993
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 3693/493,5781/993, numerators are 3693,5781
Denominators are 493,993
The GCF of 3693,5781 is 3 .
LCM of 493,993 is 489549.
The greatest common factor of 3693/493,5781/993 = [GCF of 3693,5781]/[LCM of 493,993]= 3/489549
Therefore, the GCF of 3693/493,5781/993 is 3/489549.
To find the highest common factor of 3693,5781, we have to find the factors of both numbers and list the highest common factor.
The factors of 3693 are 1, 3, 1231, 3693
The factors of 5781 are 1, 3, 41, 47, 123, 141, 1927, 5781
The HCF of 3693,5781 is 3.
Lets's calculate GCF of 3693,5781
| 3 | 3693, 5781 |
| 1231, 1927 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3693,5781 By Matching Biggest Common Factor Method
Now, list down the factors of 3693
:1,3,1231,3693
Now, list down the factors of 5781
:1,3,41,47,123,141,1927,5781
Greatest Common Factor
We found the factors 3693,5781 . The biggest common factor number is the GCF number.
So the greatest common factor 3693,5781 is 3.
Lets's calculate LCM of 493,993
Given numbers has no common factors except 1. So, there LCM is their product i.e 489549
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/489549
Therefore, the GCF of Fractions 3693/493,5781/993 is 3/489549
Least Common Multiple of 493,993 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 493,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,993) x common factors =1 x 1 = 1
LCM(493,993) = ( 493 × 993 ) / 1
LCM(493,993) = 489549 / 1
LCM(493,993) = 489549
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3693/493, 5781/993
1. What is the HCF of 3693,5781?
The HCF of 3693,5781 is 3
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 3693/493, 5781/993?
Answer: GCF of Numerators as per given numbers 3693/493, 5781/993 is
GCF of Numerators i.e. for 3693,5781 is 3
LCM of denominators i.e. for 493,993 is 489549.
Thus, GCF of Fractions is 3/489549.Finally, GCF of Fractions for 3693/493, 5781/993 is 3/489549.