GCF of 5673/128, 5547/1767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5673/128, 5547/1767 i.e 3/226176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5673/128, 5547/1767.
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 5673/128,5547/1767?
Given fractions are 5673/128,5547/1767
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 5673/128,5547/1767, numerators are 5673,5547
Denominators are 128,1767
The GCF of 5673,5547 is 3 .
LCM of 128,1767 is 226176.
The greatest common factor of 5673/128,5547/1767 = [GCF of 5673,5547]/[LCM of 128,1767]= 3/226176
Therefore, the GCF of 5673/128,5547/1767 is 3/226176.
To find the highest common factor of 5673,5547, we have to find the factors of both numbers and list the highest common factor.
The factors of 5673 are 1, 3, 31, 61, 93, 183, 1891, 5673
The factors of 5547 are 1, 3, 43, 129, 1849, 5547
The HCF of 5673,5547 is 3.
Lets's calculate GCF of 5673,5547
| 3 | 5673, 5547 |
| 1891, 1849 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5673,5547 By Matching Biggest Common Factor Method
Now, list down the factors of 5673
:1,3,31,61,93,183,1891,5673
Now, list down the factors of 5547
:1,3,43,129,1849,5547
Greatest Common Factor
We found the factors 5673,5547 . The biggest common factor number is the GCF number.
So the greatest common factor 5673,5547 is 3.
Lets's calculate LCM of 128,1767
Given numbers has no common factors except 1. So, there LCM is their product i.e 226176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/226176
Therefore, the GCF of Fractions 5673/128,5547/1767 is 3/226176
Least Common Multiple of 128,1767 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 128,1767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,1767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(128,1767) x common factors =1 x 1 = 1
LCM(128,1767) = ( 128 × 1767 ) / 1
LCM(128,1767) = 226176 / 1
LCM(128,1767) = 226176
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5673/128, 5547/1767
1. What is the HCF of 5673,5547?
The HCF of 5673,5547 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 5673/128, 5547/1767?
Answer: GCF of Numerators as per given numbers 5673/128, 5547/1767 is
GCF of Numerators i.e. for 5673,5547 is 3
LCM of denominators i.e. for 128,1767 is 226176.
Thus, GCF of Fractions is 3/226176.Finally, GCF of Fractions for 5673/128, 5547/1767 is 3/226176.