GCF of 2152/405, 8665/2229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2152/405, 8665/2229 i.e 1/300915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2152/405, 8665/2229.
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 2152/405,8665/2229?
Given fractions are 2152/405,8665/2229
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 2152/405,8665/2229, numerators are 2152,8665
Denominators are 405,2229
The GCF of 2152,8665 is 1 .
LCM of 405,2229 is 300915.
The greatest common factor of 2152/405,8665/2229 = [GCF of 2152,8665]/[LCM of 405,2229]= 1/300915
Therefore, the GCF of 2152/405,8665/2229 is 1/300915.
To find the highest common factor of 2152,8665, we have to find the factors of both numbers and list the highest common factor.
The factors of 2152 are 1, 2, 4, 8, 269, 538, 1076, 2152
The factors of 8665 are 1, 5, 1733, 8665
The HCF of 2152,8665 is 1.
Lets's calculate GCF of 2152,8665
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2152,8665 By Matching Biggest Common Factor Method
Now, list down the factors of 2152
:1,2,4,8,269,538,1076,2152
Now, list down the factors of 8665
:1,5,1733,8665
Greatest Common Factor
We found the factors 2152,8665 . The biggest common factor number is the GCF number.
So the greatest common factor 2152,8665 is 1.
Lets's calculate LCM of 405,2229
| 3 | 405, 2229 |
| 135, 743 |
∴ So the LCM of the given numbers is 3 x 135 x 743 = 300915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300915
Therefore, the GCF of Fractions 2152/405,8665/2229 is 1/300915
Least Common Multiple of 405,2229 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 405,2229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,2229) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(405,2229) x common factors =3 x 1 = 3
LCM(405,2229) = ( 405 × 2229 ) / 3
LCM(405,2229) = 902745 / 3
LCM(405,2229) = 300915
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2152/405, 8665/2229
1. What is the HCF of 2152,8665?
The HCF of 2152,8665 is 1
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 2152/405, 8665/2229?
Answer: GCF of Numerators as per given numbers 2152/405, 8665/2229 is
GCF of Numerators i.e. for 2152,8665 is 1
LCM of denominators i.e. for 405,2229 is 300915.
Thus, GCF of Fractions is 1/300915.Finally, GCF of Fractions for 2152/405, 8665/2229 is 1/300915.