GCF of 5763/453, 4335/8193
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5763/453, 4335/8193 i.e 51/1237143 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5763/453, 4335/8193.
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 5763/453,4335/8193?
Given fractions are 5763/453,4335/8193
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 5763/453,4335/8193, numerators are 5763,4335
Denominators are 453,8193
The GCF of 5763,4335 is 51 .
LCM of 453,8193 is 1237143.
The greatest common factor of 5763/453,4335/8193 = [GCF of 5763,4335]/[LCM of 453,8193]= 51/1237143
Therefore, the GCF of 5763/453,4335/8193 is 51/1237143.
To find the highest common factor of 5763,4335, we have to find the factors of both numbers and list the highest common factor.
The factors of 5763 are 1, 3, 17, 51, 113, 339, 1921, 5763
The factors of 4335 are 1, 3, 5, 15, 17, 51, 85, 255, 289, 867, 1445, 4335
The HCF of 5763,4335 is 51.
Lets's calculate GCF of 5763,4335
| 3 | 5763, 4335 |
| 17 | 1921, 1445 |
| 113, 85 |
∴ So the GCF of the given numbers is 3 x 17 = 51
Greatest Common Factor of 5763,4335 By Matching Biggest Common Factor Method
Now, list down the factors of 5763
:1,3,17,51,113,339,1921,5763
Now, list down the factors of 4335
:1,3,5,15,17,51,85,255,289,867,1445,4335
Greatest Common Factor
We found the factors 5763,4335 . The biggest common factor number is the GCF number.
So the greatest common factor 5763,4335 is 51.
Lets's calculate LCM of 453,8193
| 3 | 453, 8193 |
| 151, 2731 |
∴ So the LCM of the given numbers is 3 x 151 x 2731 = 1237143
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/1237143
Therefore, the GCF of Fractions 5763/453,4335/8193 is 51/1237143
Least Common Multiple of 453,8193 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 453,8193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(453,8193) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(453,8193) x common factors =3 x 1 = 3
LCM(453,8193) = ( 453 × 8193 ) / 3
LCM(453,8193) = 3711429 / 3
LCM(453,8193) = 1237143
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5763/453, 4335/8193
1. What is the HCF of 5763,4335?
The HCF of 5763,4335 is 51
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 5763/453, 4335/8193?
Answer: GCF of Numerators as per given numbers 5763/453, 4335/8193 is
GCF of Numerators i.e. for 5763,4335 is 51
LCM of denominators i.e. for 453,8193 is 1237143.
Thus, GCF of Fractions is 51/1237143.Finally, GCF of Fractions for 5763/453, 4335/8193 is 51/1237143.