GCF of 4563/817, 3972/592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4563/817, 3972/592 i.e 3/483664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4563/817, 3972/592.
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 4563/817,3972/592?
Given fractions are 4563/817,3972/592
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 4563/817,3972/592, numerators are 4563,3972
Denominators are 817,592
The GCF of 4563,3972 is 3 .
LCM of 817,592 is 483664.
The greatest common factor of 4563/817,3972/592 = [GCF of 4563,3972]/[LCM of 817,592]= 3/483664
Therefore, the GCF of 4563/817,3972/592 is 3/483664.
To find the highest common factor of 4563,3972, we have to find the factors of both numbers and list the highest common factor.
The factors of 4563 are 1, 3, 9, 13, 27, 39, 117, 169, 351, 507, 1521, 4563
The factors of 3972 are 1, 2, 3, 4, 6, 12, 331, 662, 993, 1324, 1986, 3972
The HCF of 4563,3972 is 3.
Lets's calculate GCF of 4563,3972
| 3 | 4563, 3972 |
| 1521, 1324 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4563,3972 By Matching Biggest Common Factor Method
Now, list down the factors of 4563
:1,3,9,13,27,39,117,169,351,507,1521,4563
Now, list down the factors of 3972
:1,2,3,4,6,12,331,662,993,1324,1986,3972
Greatest Common Factor
We found the factors 4563,3972 . The biggest common factor number is the GCF number.
So the greatest common factor 4563,3972 is 3.
Lets's calculate LCM of 817,592
Given numbers has no common factors except 1. So, there LCM is their product i.e 483664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/483664
Therefore, the GCF of Fractions 4563/817,3972/592 is 3/483664
Least Common Multiple of 817,592 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 817,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,592) x common factors =1 x 1 = 1
LCM(817,592) = ( 817 × 592 ) / 1
LCM(817,592) = 483664 / 1
LCM(817,592) = 483664
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FAQs on GCF of Fractions of 4563/817, 3972/592
1. What is the HCF of 4563,3972?
The HCF of 4563,3972 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 4563/817, 3972/592?
Answer: GCF of Numerators as per given numbers 4563/817, 3972/592 is
GCF of Numerators i.e. for 4563,3972 is 3
LCM of denominators i.e. for 817,592 is 483664.
Thus, GCF of Fractions is 3/483664.Finally, GCF of Fractions for 4563/817, 3972/592 is 3/483664.