GCF of 2575/303, 5739/2521
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2575/303, 5739/2521 i.e 1/763863 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2575/303, 5739/2521.
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 2575/303,5739/2521?
Given fractions are 2575/303,5739/2521
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 2575/303,5739/2521, numerators are 2575,5739
Denominators are 303,2521
The GCF of 2575,5739 is 1 .
LCM of 303,2521 is 763863.
The greatest common factor of 2575/303,5739/2521 = [GCF of 2575,5739]/[LCM of 303,2521]= 1/763863
Therefore, the GCF of 2575/303,5739/2521 is 1/763863.
To find the highest common factor of 2575,5739, we have to find the factors of both numbers and list the highest common factor.
The factors of 2575 are 1, 5, 25, 103, 515, 2575
The factors of 5739 are 1, 3, 1913, 5739
The HCF of 2575,5739 is 1.
Lets's calculate GCF of 2575,5739
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2575,5739 By Matching Biggest Common Factor Method
Now, list down the factors of 2575
:1,5,25,103,515,2575
Now, list down the factors of 5739
:1,3,1913,5739
Greatest Common Factor
We found the factors 2575,5739 . The biggest common factor number is the GCF number.
So the greatest common factor 2575,5739 is 1.
Lets's calculate LCM of 303,2521
Given numbers has no common factors except 1. So, there LCM is their product i.e 763863
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/763863
Therefore, the GCF of Fractions 2575/303,5739/2521 is 1/763863
Least Common Multiple of 303,2521 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 303,2521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,2521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(303,2521) x common factors =1 x 1 = 1
LCM(303,2521) = ( 303 × 2521 ) / 1
LCM(303,2521) = 763863 / 1
LCM(303,2521) = 763863
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FAQs on GCF of Fractions of 2575/303, 5739/2521
1. What is the HCF of 2575,5739?
The HCF of 2575,5739 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 2575/303, 5739/2521?
Answer: GCF of Numerators as per given numbers 2575/303, 5739/2521 is
GCF of Numerators i.e. for 2575,5739 is 1
LCM of denominators i.e. for 303,2521 is 763863.
Thus, GCF of Fractions is 1/763863.Finally, GCF of Fractions for 2575/303, 5739/2521 is 1/763863.