GCF of 2145/238, 5065/589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2145/238, 5065/589 i.e 5/140182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2145/238, 5065/589.
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 2145/238,5065/589?
Given fractions are 2145/238,5065/589
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 2145/238,5065/589, numerators are 2145,5065
Denominators are 238,589
The GCF of 2145,5065 is 5 .
LCM of 238,589 is 140182.
The greatest common factor of 2145/238,5065/589 = [GCF of 2145,5065]/[LCM of 238,589]= 5/140182
Therefore, the GCF of 2145/238,5065/589 is 5/140182.
To find the highest common factor of 2145,5065, we have to find the factors of both numbers and list the highest common factor.
The factors of 2145 are 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145
The factors of 5065 are 1, 5, 1013, 5065
The HCF of 2145,5065 is 5.
Lets's calculate GCF of 2145,5065
| 5 | 2145, 5065 |
| 429, 1013 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2145,5065 By Matching Biggest Common Factor Method
Now, list down the factors of 2145
:1,3,5,11,13,15,33,39,55,65,143,165,195,429,715,2145
Now, list down the factors of 5065
:1,5,1013,5065
Greatest Common Factor
We found the factors 2145,5065 . The biggest common factor number is the GCF number.
So the greatest common factor 2145,5065 is 5.
Lets's calculate LCM of 238,589
Given numbers has no common factors except 1. So, there LCM is their product i.e 140182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/140182
Therefore, the GCF of Fractions 2145/238,5065/589 is 5/140182
Least Common Multiple of 238,589 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 238,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(238,589) x common factors =1 x 1 = 1
LCM(238,589) = ( 238 × 589 ) / 1
LCM(238,589) = 140182 / 1
LCM(238,589) = 140182
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FAQs on GCF of Fractions of 2145/238, 5065/589
1. What is the HCF of 2145,5065?
The HCF of 2145,5065 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 2145/238, 5065/589?
Answer: GCF of Numerators as per given numbers 2145/238, 5065/589 is
GCF of Numerators i.e. for 2145,5065 is 5
LCM of denominators i.e. for 238,589 is 140182.
Thus, GCF of Fractions is 5/140182.Finally, GCF of Fractions for 2145/238, 5065/589 is 5/140182.