GCF of 1723/465, 7588/4381
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1723/465, 7588/4381 i.e 1/2037165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1723/465, 7588/4381.
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 1723/465,7588/4381?
Given fractions are 1723/465,7588/4381
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 1723/465,7588/4381, numerators are 1723,7588
Denominators are 465,4381
The GCF of 1723,7588 is 1 .
LCM of 465,4381 is 2037165.
The greatest common factor of 1723/465,7588/4381 = [GCF of 1723,7588]/[LCM of 465,4381]= 1/2037165
Therefore, the GCF of 1723/465,7588/4381 is 1/2037165.
To find the highest common factor of 1723,7588, we have to find the factors of both numbers and list the highest common factor.
The factors of 1723 are 1, 1723
The factors of 7588 are 1, 2, 4, 7, 14, 28, 271, 542, 1084, 1897, 3794, 7588
The HCF of 1723,7588 is 1.
Lets's calculate GCF of 1723,7588
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1723,7588 By Matching Biggest Common Factor Method
Now, list down the factors of 1723
:1,1723
Now, list down the factors of 7588
:1,2,4,7,14,28,271,542,1084,1897,3794,7588
Greatest Common Factor
We found the factors 1723,7588 . The biggest common factor number is the GCF number.
So the greatest common factor 1723,7588 is 1.
Lets's calculate LCM of 465,4381
Given numbers has no common factors except 1. So, there LCM is their product i.e 2037165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2037165
Therefore, the GCF of Fractions 1723/465,7588/4381 is 1/2037165
Least Common Multiple of 465,4381 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 465,4381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,4381) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(465,4381) x common factors =1 x 1 = 1
LCM(465,4381) = ( 465 × 4381 ) / 1
LCM(465,4381) = 2037165 / 1
LCM(465,4381) = 2037165
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FAQs on GCF of Fractions of 1723/465, 7588/4381
1. What is the HCF of 1723,7588?
The HCF of 1723,7588 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 1723/465, 7588/4381?
Answer: GCF of Numerators as per given numbers 1723/465, 7588/4381 is
GCF of Numerators i.e. for 1723,7588 is 1
LCM of denominators i.e. for 465,4381 is 2037165.
Thus, GCF of Fractions is 1/2037165.Finally, GCF of Fractions for 1723/465, 7588/4381 is 1/2037165.