GCF of 2205/596, 8615/462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2205/596, 8615/462 i.e 5/137676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2205/596, 8615/462.
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 2205/596,8615/462?
Given fractions are 2205/596,8615/462
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 2205/596,8615/462, numerators are 2205,8615
Denominators are 596,462
The GCF of 2205,8615 is 5 .
LCM of 596,462 is 137676.
The greatest common factor of 2205/596,8615/462 = [GCF of 2205,8615]/[LCM of 596,462]= 5/137676
Therefore, the GCF of 2205/596,8615/462 is 5/137676.
To find the highest common factor of 2205,8615, we have to find the factors of both numbers and list the highest common factor.
The factors of 2205 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205
The factors of 8615 are 1, 5, 1723, 8615
The HCF of 2205,8615 is 5.
Lets's calculate GCF of 2205,8615
| 5 | 2205, 8615 |
| 441, 1723 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2205,8615 By Matching Biggest Common Factor Method
Now, list down the factors of 2205
:1,3,5,7,9,15,21,35,45,49,63,105,147,245,315,441,735,2205
Now, list down the factors of 8615
:1,5,1723,8615
Greatest Common Factor
We found the factors 2205,8615 . The biggest common factor number is the GCF number.
So the greatest common factor 2205,8615 is 5.
Lets's calculate LCM of 596,462
| 2 | 596, 462 |
| 298, 231 |
∴ So the LCM of the given numbers is 2 x 298 x 231 = 137676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/137676
Therefore, the GCF of Fractions 2205/596,8615/462 is 5/137676
Least Common Multiple of 596,462 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 596,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,462) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(596,462) x common factors =2 x 1 = 2
LCM(596,462) = ( 596 × 462 ) / 2
LCM(596,462) = 275352 / 2
LCM(596,462) = 137676
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FAQs on GCF of Fractions of 2205/596, 8615/462
1. What is the HCF of 2205,8615?
The HCF of 2205,8615 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 2205/596, 8615/462?
Answer: GCF of Numerators as per given numbers 2205/596, 8615/462 is
GCF of Numerators i.e. for 2205,8615 is 5
LCM of denominators i.e. for 596,462 is 137676.
Thus, GCF of Fractions is 5/137676.Finally, GCF of Fractions for 2205/596, 8615/462 is 5/137676.