GCF of 2180/783, 3585/468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2180/783, 3585/468 i.e 5/40716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2180/783, 3585/468.
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 2180/783,3585/468?
Given fractions are 2180/783,3585/468
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 2180/783,3585/468, numerators are 2180,3585
Denominators are 783,468
The GCF of 2180,3585 is 5 .
LCM of 783,468 is 40716.
The greatest common factor of 2180/783,3585/468 = [GCF of 2180,3585]/[LCM of 783,468]= 5/40716
Therefore, the GCF of 2180/783,3585/468 is 5/40716.
To find the highest common factor of 2180,3585, we have to find the factors of both numbers and list the highest common factor.
The factors of 2180 are 1, 2, 4, 5, 10, 20, 109, 218, 436, 545, 1090, 2180
The factors of 3585 are 1, 3, 5, 15, 239, 717, 1195, 3585
The HCF of 2180,3585 is 5.
Lets's calculate GCF of 2180,3585
| 5 | 2180, 3585 |
| 436, 717 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2180,3585 By Matching Biggest Common Factor Method
Now, list down the factors of 2180
:1,2,4,5,10,20,109,218,436,545,1090,2180
Now, list down the factors of 3585
:1,3,5,15,239,717,1195,3585
Greatest Common Factor
We found the factors 2180,3585 . The biggest common factor number is the GCF number.
So the greatest common factor 2180,3585 is 5.
Lets's calculate LCM of 783,468
| 3 | 783, 468 |
| 3 | 261, 156 |
| 87, 52 |
∴ So the LCM of the given numbers is 3 x 3 x 87 x 52 = 40716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/40716
Therefore, the GCF of Fractions 2180/783,3585/468 is 5/40716
Least Common Multiple of 783,468 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 783,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,468) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(783,468) x common factors =9 x 1 = 9
LCM(783,468) = ( 783 × 468 ) / 9
LCM(783,468) = 366444 / 9
LCM(783,468) = 40716
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FAQs on GCF of Fractions of 2180/783, 3585/468
1. What is the HCF of 2180,3585?
The HCF of 2180,3585 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 2180/783, 3585/468?
Answer: GCF of Numerators as per given numbers 2180/783, 3585/468 is
GCF of Numerators i.e. for 2180,3585 is 5
LCM of denominators i.e. for 783,468 is 40716.
Thus, GCF of Fractions is 5/40716.Finally, GCF of Fractions for 2180/783, 3585/468 is 5/40716.