GCF of 1580/331, 2186/515
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1580/331, 2186/515 i.e 2/170465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1580/331, 2186/515.
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 1580/331,2186/515?
Given fractions are 1580/331,2186/515
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 1580/331,2186/515, numerators are 1580,2186
Denominators are 331,515
The GCF of 1580,2186 is 2 .
LCM of 331,515 is 170465.
The greatest common factor of 1580/331,2186/515 = [GCF of 1580,2186]/[LCM of 331,515]= 2/170465
Therefore, the GCF of 1580/331,2186/515 is 2/170465.
To find the highest common factor of 1580,2186, we have to find the factors of both numbers and list the highest common factor.
The factors of 1580 are 1, 2, 4, 5, 10, 20, 79, 158, 316, 395, 790, 1580
The factors of 2186 are 1, 2, 1093, 2186
The HCF of 1580,2186 is 2.
Lets's calculate GCF of 1580,2186
| 2 | 1580, 2186 |
| 790, 1093 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1580,2186 By Matching Biggest Common Factor Method
Now, list down the factors of 1580
:1,2,4,5,10,20,79,158,316,395,790,1580
Now, list down the factors of 2186
:1,2,1093,2186
Greatest Common Factor
We found the factors 1580,2186 . The biggest common factor number is the GCF number.
So the greatest common factor 1580,2186 is 2.
Lets's calculate LCM of 331,515
Given numbers has no common factors except 1. So, there LCM is their product i.e 170465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/170465
Therefore, the GCF of Fractions 1580/331,2186/515 is 2/170465
Least Common Multiple of 331,515 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 331,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,515) x common factors =1 x 1 = 1
LCM(331,515) = ( 331 × 515 ) / 1
LCM(331,515) = 170465 / 1
LCM(331,515) = 170465
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FAQs on GCF of Fractions of 1580/331, 2186/515
1. What is the HCF of 1580,2186?
The HCF of 1580,2186 is 2
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 1580/331, 2186/515?
Answer: GCF of Numerators as per given numbers 1580/331, 2186/515 is
GCF of Numerators i.e. for 1580,2186 is 2
LCM of denominators i.e. for 331,515 is 170465.
Thus, GCF of Fractions is 2/170465.Finally, GCF of Fractions for 1580/331, 2186/515 is 2/170465.