GCF of 5875/69, 2575/652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5875/69, 2575/652 i.e 25/44988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5875/69, 2575/652.
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 5875/69,2575/652?
Given fractions are 5875/69,2575/652
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 5875/69,2575/652, numerators are 5875,2575
Denominators are 69,652
The GCF of 5875,2575 is 25 .
LCM of 69,652 is 44988.
The greatest common factor of 5875/69,2575/652 = [GCF of 5875,2575]/[LCM of 69,652]= 25/44988
Therefore, the GCF of 5875/69,2575/652 is 25/44988.
To find the highest common factor of 5875,2575, we have to find the factors of both numbers and list the highest common factor.
The factors of 5875 are 1, 5, 25, 47, 125, 235, 1175, 5875
The factors of 2575 are 1, 5, 25, 103, 515, 2575
The HCF of 5875,2575 is 25.
Lets's calculate GCF of 5875,2575
| 5 | 5875, 2575 |
| 5 | 1175, 515 |
| 235, 103 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 5875,2575 By Matching Biggest Common Factor Method
Now, list down the factors of 5875
:1,5,25,47,125,235,1175,5875
Now, list down the factors of 2575
:1,5,25,103,515,2575
Greatest Common Factor
We found the factors 5875,2575 . The biggest common factor number is the GCF number.
So the greatest common factor 5875,2575 is 25.
Lets's calculate LCM of 69,652
Given numbers has no common factors except 1. So, there LCM is their product i.e 44988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/44988
Therefore, the GCF of Fractions 5875/69,2575/652 is 25/44988
Least Common Multiple of 69,652 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 69,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,652) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,652) x common factors =1 x 1 = 1
LCM(69,652) = ( 69 × 652 ) / 1
LCM(69,652) = 44988 / 1
LCM(69,652) = 44988
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FAQs on GCF of Fractions of 5875/69, 2575/652
1. What is the HCF of 5875,2575?
The HCF of 5875,2575 is 25
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 5875/69, 2575/652?
Answer: GCF of Numerators as per given numbers 5875/69, 2575/652 is
GCF of Numerators i.e. for 5875,2575 is 25
LCM of denominators i.e. for 69,652 is 44988.
Thus, GCF of Fractions is 25/44988.Finally, GCF of Fractions for 5875/69, 2575/652 is 25/44988.