GCF of 4569/290, 6509/744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4569/290, 6509/744 i.e 1/107880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4569/290, 6509/744.
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 4569/290,6509/744?
Given fractions are 4569/290,6509/744
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 4569/290,6509/744, numerators are 4569,6509
Denominators are 290,744
The GCF of 4569,6509 is 1 .
LCM of 290,744 is 107880.
The greatest common factor of 4569/290,6509/744 = [GCF of 4569,6509]/[LCM of 290,744]= 1/107880
Therefore, the GCF of 4569/290,6509/744 is 1/107880.
To find the highest common factor of 4569,6509, we have to find the factors of both numbers and list the highest common factor.
The factors of 4569 are 1, 3, 1523, 4569
The factors of 6509 are 1, 23, 283, 6509
The HCF of 4569,6509 is 1.
Lets's calculate GCF of 4569,6509
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4569,6509 By Matching Biggest Common Factor Method
Now, list down the factors of 4569
:1,3,1523,4569
Now, list down the factors of 6509
:1,23,283,6509
Greatest Common Factor
We found the factors 4569,6509 . The biggest common factor number is the GCF number.
So the greatest common factor 4569,6509 is 1.
Lets's calculate LCM of 290,744
| 2 | 290, 744 |
| 145, 372 |
∴ So the LCM of the given numbers is 2 x 145 x 372 = 107880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107880
Therefore, the GCF of Fractions 4569/290,6509/744 is 1/107880
Least Common Multiple of 290,744 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 290,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,744) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(290,744) x common factors =2 x 1 = 2
LCM(290,744) = ( 290 × 744 ) / 2
LCM(290,744) = 215760 / 2
LCM(290,744) = 107880
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FAQs on GCF of Fractions of 4569/290, 6509/744
1. What is the HCF of 4569,6509?
The HCF of 4569,6509 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 4569/290, 6509/744?
Answer: GCF of Numerators as per given numbers 4569/290, 6509/744 is
GCF of Numerators i.e. for 4569,6509 is 1
LCM of denominators i.e. for 290,744 is 107880.
Thus, GCF of Fractions is 1/107880.Finally, GCF of Fractions for 4569/290, 6509/744 is 1/107880.