GCF of 8025/155, 7695/2012
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8025/155, 7695/2012 i.e 15/311860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8025/155, 7695/2012.
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 8025/155,7695/2012?
Given fractions are 8025/155,7695/2012
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 8025/155,7695/2012, numerators are 8025,7695
Denominators are 155,2012
The GCF of 8025,7695 is 15 .
LCM of 155,2012 is 311860.
The greatest common factor of 8025/155,7695/2012 = [GCF of 8025,7695]/[LCM of 155,2012]= 15/311860
Therefore, the GCF of 8025/155,7695/2012 is 15/311860.
To find the highest common factor of 8025,7695, we have to find the factors of both numbers and list the highest common factor.
The factors of 8025 are 1, 3, 5, 15, 25, 75, 107, 321, 535, 1605, 2675, 8025
The factors of 7695 are 1, 3, 5, 9, 15, 19, 27, 45, 57, 81, 95, 135, 171, 285, 405, 513, 855, 1539, 2565, 7695
The HCF of 8025,7695 is 15.
Lets's calculate GCF of 8025,7695
| 3 | 8025, 7695 |
| 5 | 2675, 2565 |
| 535, 513 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 8025,7695 By Matching Biggest Common Factor Method
Now, list down the factors of 8025
:1,3,5,15,25,75,107,321,535,1605,2675,8025
Now, list down the factors of 7695
:1,3,5,9,15,19,27,45,57,81,95,135,171,285,405,513,855,1539,2565,7695
Greatest Common Factor
We found the factors 8025,7695 . The biggest common factor number is the GCF number.
So the greatest common factor 8025,7695 is 15.
Lets's calculate LCM of 155,2012
Given numbers has no common factors except 1. So, there LCM is their product i.e 311860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/311860
Therefore, the GCF of Fractions 8025/155,7695/2012 is 15/311860
Least Common Multiple of 155,2012 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 155,2012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,2012) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,2012) x common factors =1 x 1 = 1
LCM(155,2012) = ( 155 × 2012 ) / 1
LCM(155,2012) = 311860 / 1
LCM(155,2012) = 311860
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FAQs on GCF of Fractions of 8025/155, 7695/2012
1. What is the HCF of 8025,7695?
The HCF of 8025,7695 is 15
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 8025/155, 7695/2012?
Answer: GCF of Numerators as per given numbers 8025/155, 7695/2012 is
GCF of Numerators i.e. for 8025,7695 is 15
LCM of denominators i.e. for 155,2012 is 311860.
Thus, GCF of Fractions is 15/311860.Finally, GCF of Fractions for 8025/155, 7695/2012 is 15/311860.