GCF of 4590/369, 6285/7355
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4590/369, 6285/7355 i.e 15/2713995 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4590/369, 6285/7355.
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 4590/369,6285/7355?
Given fractions are 4590/369,6285/7355
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 4590/369,6285/7355, numerators are 4590,6285
Denominators are 369,7355
The GCF of 4590,6285 is 15 .
LCM of 369,7355 is 2713995.
The greatest common factor of 4590/369,6285/7355 = [GCF of 4590,6285]/[LCM of 369,7355]= 15/2713995
Therefore, the GCF of 4590/369,6285/7355 is 15/2713995.
To find the highest common factor of 4590,6285, we have to find the factors of both numbers and list the highest common factor.
The factors of 4590 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295, 4590
The factors of 6285 are 1, 3, 5, 15, 419, 1257, 2095, 6285
The HCF of 4590,6285 is 15.
Lets's calculate GCF of 4590,6285
| 3 | 4590, 6285 |
| 5 | 1530, 2095 |
| 306, 419 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 4590,6285 By Matching Biggest Common Factor Method
Now, list down the factors of 4590
:1,2,3,5,6,9,10,15,17,18,27,30,34,45,51,54,85,90,102,135,153,170,255,270,306,459,510,765,918,1530,2295,4590
Now, list down the factors of 6285
:1,3,5,15,419,1257,2095,6285
Greatest Common Factor
We found the factors 4590,6285 . The biggest common factor number is the GCF number.
So the greatest common factor 4590,6285 is 15.
Lets's calculate LCM of 369,7355
Given numbers has no common factors except 1. So, there LCM is their product i.e 2713995
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/2713995
Therefore, the GCF of Fractions 4590/369,6285/7355 is 15/2713995
Least Common Multiple of 369,7355 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 369,7355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,7355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(369,7355) x common factors =1 x 1 = 1
LCM(369,7355) = ( 369 × 7355 ) / 1
LCM(369,7355) = 2713995 / 1
LCM(369,7355) = 2713995
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FAQs on GCF of Fractions of 4590/369, 6285/7355
1. What is the HCF of 4590,6285?
The HCF of 4590,6285 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 4590/369, 6285/7355?
Answer: GCF of Numerators as per given numbers 4590/369, 6285/7355 is
GCF of Numerators i.e. for 4590,6285 is 15
LCM of denominators i.e. for 369,7355 is 2713995.
Thus, GCF of Fractions is 15/2713995.Finally, GCF of Fractions for 4590/369, 6285/7355 is 15/2713995.