GCF of 1515/127, 2575/2186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1515/127, 2575/2186 i.e 5/277622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1515/127, 2575/2186.
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 1515/127,2575/2186?
Given fractions are 1515/127,2575/2186
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 1515/127,2575/2186, numerators are 1515,2575
Denominators are 127,2186
The GCF of 1515,2575 is 5 .
LCM of 127,2186 is 277622.
The greatest common factor of 1515/127,2575/2186 = [GCF of 1515,2575]/[LCM of 127,2186]= 5/277622
Therefore, the GCF of 1515/127,2575/2186 is 5/277622.
To find the highest common factor of 1515,2575, we have to find the factors of both numbers and list the highest common factor.
The factors of 1515 are 1, 3, 5, 15, 101, 303, 505, 1515
The factors of 2575 are 1, 5, 25, 103, 515, 2575
The HCF of 1515,2575 is 5.
Lets's calculate GCF of 1515,2575
| 5 | 1515, 2575 |
| 303, 515 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1515,2575 By Matching Biggest Common Factor Method
Now, list down the factors of 1515
:1,3,5,15,101,303,505,1515
Now, list down the factors of 2575
:1,5,25,103,515,2575
Greatest Common Factor
We found the factors 1515,2575 . The biggest common factor number is the GCF number.
So the greatest common factor 1515,2575 is 5.
Lets's calculate LCM of 127,2186
Given numbers has no common factors except 1. So, there LCM is their product i.e 277622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/277622
Therefore, the GCF of Fractions 1515/127,2575/2186 is 5/277622
Least Common Multiple of 127,2186 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 127,2186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,2186) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,2186) x common factors =1 x 1 = 1
LCM(127,2186) = ( 127 × 2186 ) / 1
LCM(127,2186) = 277622 / 1
LCM(127,2186) = 277622
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1515/127, 2575/2186
1. What is the HCF of 1515,2575?
The HCF of 1515,2575 is 5
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 1515/127, 2575/2186?
Answer: GCF of Numerators as per given numbers 1515/127, 2575/2186 is
GCF of Numerators i.e. for 1515,2575 is 5
LCM of denominators i.e. for 127,2186 is 277622.
Thus, GCF of Fractions is 5/277622.Finally, GCF of Fractions for 1515/127, 2575/2186 is 5/277622.