GCF of 2180/135, 3872/6775
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2180/135, 3872/6775 i.e 4/182925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2180/135, 3872/6775.
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 2180/135,3872/6775?
Given fractions are 2180/135,3872/6775
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 2180/135,3872/6775, numerators are 2180,3872
Denominators are 135,6775
The GCF of 2180,3872 is 4 .
LCM of 135,6775 is 182925.
The greatest common factor of 2180/135,3872/6775 = [GCF of 2180,3872]/[LCM of 135,6775]= 4/182925
Therefore, the GCF of 2180/135,3872/6775 is 4/182925.
To find the highest common factor of 2180,3872, 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 3872 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1936, 3872
The HCF of 2180,3872 is 4.
Lets's calculate GCF of 2180,3872
| 2 | 2180, 3872 |
| 2 | 1090, 1936 |
| 545, 968 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2180,3872 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 3872
:1,2,4,8,11,16,22,32,44,88,121,176,242,352,484,968,1936,3872
Greatest Common Factor
We found the factors 2180,3872 . The biggest common factor number is the GCF number.
So the greatest common factor 2180,3872 is 4.
Lets's calculate LCM of 135,6775
| 5 | 135, 6775 |
| 27, 1355 |
∴ So the LCM of the given numbers is 5 x 27 x 1355 = 182925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/182925
Therefore, the GCF of Fractions 2180/135,3872/6775 is 4/182925
Least Common Multiple of 135,6775 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 135,6775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,6775) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(135,6775) x common factors =5 x 1 = 5
LCM(135,6775) = ( 135 × 6775 ) / 5
LCM(135,6775) = 914625 / 5
LCM(135,6775) = 182925
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FAQs on GCF of Fractions of 2180/135, 3872/6775
1. What is the HCF of 2180,3872?
The HCF of 2180,3872 is 4
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 2180/135, 3872/6775?
Answer: GCF of Numerators as per given numbers 2180/135, 3872/6775 is
GCF of Numerators i.e. for 2180,3872 is 4
LCM of denominators i.e. for 135,6775 is 182925.
Thus, GCF of Fractions is 4/182925.Finally, GCF of Fractions for 2180/135, 3872/6775 is 4/182925.