GCF of 1595/461, 2404/815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1595/461, 2404/815 i.e 1/375715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1595/461, 2404/815.
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 1595/461,2404/815?
Given fractions are 1595/461,2404/815
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 1595/461,2404/815, numerators are 1595,2404
Denominators are 461,815
The GCF of 1595,2404 is 1 .
LCM of 461,815 is 375715.
The greatest common factor of 1595/461,2404/815 = [GCF of 1595,2404]/[LCM of 461,815]= 1/375715
Therefore, the GCF of 1595/461,2404/815 is 1/375715.
To find the highest common factor of 1595,2404, we have to find the factors of both numbers and list the highest common factor.
The factors of 1595 are 1, 5, 11, 29, 55, 145, 319, 1595
The factors of 2404 are 1, 2, 4, 601, 1202, 2404
The HCF of 1595,2404 is 1.
Lets's calculate GCF of 1595,2404
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1595,2404 By Matching Biggest Common Factor Method
Now, list down the factors of 1595
:1,5,11,29,55,145,319,1595
Now, list down the factors of 2404
:1,2,4,601,1202,2404
Greatest Common Factor
We found the factors 1595,2404 . The biggest common factor number is the GCF number.
So the greatest common factor 1595,2404 is 1.
Lets's calculate LCM of 461,815
Given numbers has no common factors except 1. So, there LCM is their product i.e 375715
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/375715
Therefore, the GCF of Fractions 1595/461,2404/815 is 1/375715
Least Common Multiple of 461,815 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 461,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,815) x common factors =1 x 1 = 1
LCM(461,815) = ( 461 × 815 ) / 1
LCM(461,815) = 375715 / 1
LCM(461,815) = 375715
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FAQs on GCF of Fractions of 1595/461, 2404/815
1. What is the HCF of 1595,2404?
The HCF of 1595,2404 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 1595/461, 2404/815?
Answer: GCF of Numerators as per given numbers 1595/461, 2404/815 is
GCF of Numerators i.e. for 1595,2404 is 1
LCM of denominators i.e. for 461,815 is 375715.
Thus, GCF of Fractions is 1/375715.Finally, GCF of Fractions for 1595/461, 2404/815 is 1/375715.