GCF of 2401/825, 5258/7625
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2401/825, 5258/7625 i.e 1/251625 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2401/825, 5258/7625.
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 2401/825,5258/7625?
Given fractions are 2401/825,5258/7625
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 2401/825,5258/7625, numerators are 2401,5258
Denominators are 825,7625
The GCF of 2401,5258 is 1 .
LCM of 825,7625 is 251625.
The greatest common factor of 2401/825,5258/7625 = [GCF of 2401,5258]/[LCM of 825,7625]= 1/251625
Therefore, the GCF of 2401/825,5258/7625 is 1/251625.
To find the highest common factor of 2401,5258, we have to find the factors of both numbers and list the highest common factor.
The factors of 2401 are 1, 7, 49, 343, 2401
The factors of 5258 are 1, 2, 11, 22, 239, 478, 2629, 5258
The HCF of 2401,5258 is 1.
Lets's calculate GCF of 2401,5258
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2401,5258 By Matching Biggest Common Factor Method
Now, list down the factors of 2401
:1,7,49,343,2401
Now, list down the factors of 5258
:1,2,11,22,239,478,2629,5258
Greatest Common Factor
We found the factors 2401,5258 . The biggest common factor number is the GCF number.
So the greatest common factor 2401,5258 is 1.
Lets's calculate LCM of 825,7625
| 5 | 825, 7625 |
| 5 | 165, 1525 |
| 33, 305 |
∴ So the LCM of the given numbers is 5 x 5 x 33 x 305 = 251625
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/251625
Therefore, the GCF of Fractions 2401/825,5258/7625 is 1/251625
Least Common Multiple of 825,7625 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 825,7625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,7625) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(825,7625) x common factors =25 x 1 = 25
LCM(825,7625) = ( 825 × 7625 ) / 25
LCM(825,7625) = 6290625 / 25
LCM(825,7625) = 251625
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FAQs on GCF of Fractions of 2401/825, 5258/7625
1. What is the HCF of 2401,5258?
The HCF of 2401,5258 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 2401/825, 5258/7625?
Answer: GCF of Numerators as per given numbers 2401/825, 5258/7625 is
GCF of Numerators i.e. for 2401,5258 is 1
LCM of denominators i.e. for 825,7625 is 251625.
Thus, GCF of Fractions is 1/251625.Finally, GCF of Fractions for 2401/825, 5258/7625 is 1/251625.