GCF of 4683/593, 9219/459
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4683/593, 9219/459 i.e 21/272187 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4683/593, 9219/459.
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 4683/593,9219/459?
Given fractions are 4683/593,9219/459
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 4683/593,9219/459, numerators are 4683,9219
Denominators are 593,459
The GCF of 4683,9219 is 21 .
LCM of 593,459 is 272187.
The greatest common factor of 4683/593,9219/459 = [GCF of 4683,9219]/[LCM of 593,459]= 21/272187
Therefore, the GCF of 4683/593,9219/459 is 21/272187.
To find the highest common factor of 4683,9219, we have to find the factors of both numbers and list the highest common factor.
The factors of 4683 are 1, 3, 7, 21, 223, 669, 1561, 4683
The factors of 9219 are 1, 3, 7, 21, 439, 1317, 3073, 9219
The HCF of 4683,9219 is 21.
Lets's calculate GCF of 4683,9219
| 3 | 4683, 9219 |
| 7 | 1561, 3073 |
| 223, 439 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 4683,9219 By Matching Biggest Common Factor Method
Now, list down the factors of 4683
:1,3,7,21,223,669,1561,4683
Now, list down the factors of 9219
:1,3,7,21,439,1317,3073,9219
Greatest Common Factor
We found the factors 4683,9219 . The biggest common factor number is the GCF number.
So the greatest common factor 4683,9219 is 21.
Lets's calculate LCM of 593,459
Given numbers has no common factors except 1. So, there LCM is their product i.e 272187
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/272187
Therefore, the GCF of Fractions 4683/593,9219/459 is 21/272187
Least Common Multiple of 593,459 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 593,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,459) x common factors =1 x 1 = 1
LCM(593,459) = ( 593 × 459 ) / 1
LCM(593,459) = 272187 / 1
LCM(593,459) = 272187
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FAQs on GCF of Fractions of 4683/593, 9219/459
1. What is the HCF of 4683,9219?
The HCF of 4683,9219 is 21
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 4683/593, 9219/459?
Answer: GCF of Numerators as per given numbers 4683/593, 9219/459 is
GCF of Numerators i.e. for 4683,9219 is 21
LCM of denominators i.e. for 593,459 is 272187.
Thus, GCF of Fractions is 21/272187.Finally, GCF of Fractions for 4683/593, 9219/459 is 21/272187.