GCF of 8055/189, 2180/164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8055/189, 2180/164 i.e 5/30996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8055/189, 2180/164.
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 8055/189,2180/164?
Given fractions are 8055/189,2180/164
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 8055/189,2180/164, numerators are 8055,2180
Denominators are 189,164
The GCF of 8055,2180 is 5 .
LCM of 189,164 is 30996.
The greatest common factor of 8055/189,2180/164 = [GCF of 8055,2180]/[LCM of 189,164]= 5/30996
Therefore, the GCF of 8055/189,2180/164 is 5/30996.
To find the highest common factor of 8055,2180, we have to find the factors of both numbers and list the highest common factor.
The factors of 8055 are 1, 3, 5, 9, 15, 45, 179, 537, 895, 1611, 2685, 8055
The factors of 2180 are 1, 2, 4, 5, 10, 20, 109, 218, 436, 545, 1090, 2180
The HCF of 8055,2180 is 5.
Lets's calculate GCF of 8055,2180
| 5 | 8055, 2180 |
| 1611, 436 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8055,2180 By Matching Biggest Common Factor Method
Now, list down the factors of 8055
:1,3,5,9,15,45,179,537,895,1611,2685,8055
Now, list down the factors of 2180
:1,2,4,5,10,20,109,218,436,545,1090,2180
Greatest Common Factor
We found the factors 8055,2180 . The biggest common factor number is the GCF number.
So the greatest common factor 8055,2180 is 5.
Lets's calculate LCM of 189,164
Given numbers has no common factors except 1. So, there LCM is their product i.e 30996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/30996
Therefore, the GCF of Fractions 8055/189,2180/164 is 5/30996
Least Common Multiple of 189,164 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 189,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(189,164) x common factors =1 x 1 = 1
LCM(189,164) = ( 189 × 164 ) / 1
LCM(189,164) = 30996 / 1
LCM(189,164) = 30996
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FAQs on GCF of Fractions of 8055/189, 2180/164
1. What is the HCF of 8055,2180?
The HCF of 8055,2180 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 8055/189, 2180/164?
Answer: GCF of Numerators as per given numbers 8055/189, 2180/164 is
GCF of Numerators i.e. for 8055,2180 is 5
LCM of denominators i.e. for 189,164 is 30996.
Thus, GCF of Fractions is 5/30996.Finally, GCF of Fractions for 8055/189, 2180/164 is 5/30996.