GCF of 5325/613, 9180/2840
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5325/613, 9180/2840 i.e 15/1740920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5325/613, 9180/2840.
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 5325/613,9180/2840?
Given fractions are 5325/613,9180/2840
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 5325/613,9180/2840, numerators are 5325,9180
Denominators are 613,2840
The GCF of 5325,9180 is 15 .
LCM of 613,2840 is 1740920.
The greatest common factor of 5325/613,9180/2840 = [GCF of 5325,9180]/[LCM of 613,2840]= 15/1740920
Therefore, the GCF of 5325/613,9180/2840 is 15/1740920.
To find the highest common factor of 5325,9180, we have to find the factors of both numbers and list the highest common factor.
The factors of 5325 are 1, 3, 5, 15, 25, 71, 75, 213, 355, 1065, 1775, 5325
The factors of 9180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 27, 30, 34, 36, 45, 51, 54, 60, 68, 85, 90, 102, 108, 135, 153, 170, 180, 204, 255, 270, 306, 340, 459, 510, 540, 612, 765, 918, 1020, 1530, 1836, 2295, 3060, 4590, 9180
The HCF of 5325,9180 is 15.
Lets's calculate GCF of 5325,9180
| 3 | 5325, 9180 |
| 5 | 1775, 3060 |
| 355, 612 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 5325,9180 By Matching Biggest Common Factor Method
Now, list down the factors of 5325
:1,3,5,15,25,71,75,213,355,1065,1775,5325
Now, list down the factors of 9180
:1,2,3,4,5,6,9,10,12,15,17,18,20,27,30,34,36,45,51,54,60,68,85,90,102,108,135,153,170,180,204,255,270,306,340,459,510,540,612,765,918,1020,1530,1836,2295,3060,4590,9180
Greatest Common Factor
We found the factors 5325,9180 . The biggest common factor number is the GCF number.
So the greatest common factor 5325,9180 is 15.
Lets's calculate LCM of 613,2840
Given numbers has no common factors except 1. So, there LCM is their product i.e 1740920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1740920
Therefore, the GCF of Fractions 5325/613,9180/2840 is 15/1740920
Least Common Multiple of 613,2840 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 613,2840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,2840) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,2840) x common factors =1 x 1 = 1
LCM(613,2840) = ( 613 × 2840 ) / 1
LCM(613,2840) = 1740920 / 1
LCM(613,2840) = 1740920
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FAQs on GCF of Fractions of 5325/613, 9180/2840
1. What is the HCF of 5325,9180?
The HCF of 5325,9180 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 5325/613, 9180/2840?
Answer: GCF of Numerators as per given numbers 5325/613, 9180/2840 is
GCF of Numerators i.e. for 5325,9180 is 15
LCM of denominators i.e. for 613,2840 is 1740920.
Thus, GCF of Fractions is 15/1740920.Finally, GCF of Fractions for 5325/613, 9180/2840 is 15/1740920.