GCF of 4557/576, 6109/3596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4557/576, 6109/3596 i.e 1/517824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4557/576, 6109/3596.
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 4557/576,6109/3596?
Given fractions are 4557/576,6109/3596
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 4557/576,6109/3596, numerators are 4557,6109
Denominators are 576,3596
The GCF of 4557,6109 is 1 .
LCM of 576,3596 is 517824.
The greatest common factor of 4557/576,6109/3596 = [GCF of 4557,6109]/[LCM of 576,3596]= 1/517824
Therefore, the GCF of 4557/576,6109/3596 is 1/517824.
To find the highest common factor of 4557,6109, we have to find the factors of both numbers and list the highest common factor.
The factors of 4557 are 1, 3, 7, 21, 31, 49, 93, 147, 217, 651, 1519, 4557
The factors of 6109 are 1, 41, 149, 6109
The HCF of 4557,6109 is 1.
Lets's calculate GCF of 4557,6109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4557,6109 By Matching Biggest Common Factor Method
Now, list down the factors of 4557
:1,3,7,21,31,49,93,147,217,651,1519,4557
Now, list down the factors of 6109
:1,41,149,6109
Greatest Common Factor
We found the factors 4557,6109 . The biggest common factor number is the GCF number.
So the greatest common factor 4557,6109 is 1.
Lets's calculate LCM of 576,3596
| 2 | 576, 3596 |
| 2 | 288, 1798 |
| 144, 899 |
∴ So the LCM of the given numbers is 2 x 2 x 144 x 899 = 517824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/517824
Therefore, the GCF of Fractions 4557/576,6109/3596 is 1/517824
Least Common Multiple of 576,3596 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 576,3596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,3596) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(576,3596) x common factors =4 x 1 = 4
LCM(576,3596) = ( 576 × 3596 ) / 4
LCM(576,3596) = 2071296 / 4
LCM(576,3596) = 517824
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FAQs on GCF of Fractions of 4557/576, 6109/3596
1. What is the HCF of 4557,6109?
The HCF of 4557,6109 is 1
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 4557/576, 6109/3596?
Answer: GCF of Numerators as per given numbers 4557/576, 6109/3596 is
GCF of Numerators i.e. for 4557,6109 is 1
LCM of denominators i.e. for 576,3596 is 517824.
Thus, GCF of Fractions is 1/517824.Finally, GCF of Fractions for 4557/576, 6109/3596 is 1/517824.