GCF of 8895/596, 7227/3165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8895/596, 7227/3165 i.e 3/1886340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8895/596, 7227/3165.
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 8895/596,7227/3165?
Given fractions are 8895/596,7227/3165
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 8895/596,7227/3165, numerators are 8895,7227
Denominators are 596,3165
The GCF of 8895,7227 is 3 .
LCM of 596,3165 is 1886340.
The greatest common factor of 8895/596,7227/3165 = [GCF of 8895,7227]/[LCM of 596,3165]= 3/1886340
Therefore, the GCF of 8895/596,7227/3165 is 3/1886340.
To find the highest common factor of 8895,7227, we have to find the factors of both numbers and list the highest common factor.
The factors of 8895 are 1, 3, 5, 15, 593, 1779, 2965, 8895
The factors of 7227 are 1, 3, 9, 11, 33, 73, 99, 219, 657, 803, 2409, 7227
The HCF of 8895,7227 is 3.
Lets's calculate GCF of 8895,7227
| 3 | 8895, 7227 |
| 2965, 2409 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8895,7227 By Matching Biggest Common Factor Method
Now, list down the factors of 8895
:1,3,5,15,593,1779,2965,8895
Now, list down the factors of 7227
:1,3,9,11,33,73,99,219,657,803,2409,7227
Greatest Common Factor
We found the factors 8895,7227 . The biggest common factor number is the GCF number.
So the greatest common factor 8895,7227 is 3.
Lets's calculate LCM of 596,3165
Given numbers has no common factors except 1. So, there LCM is their product i.e 1886340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1886340
Therefore, the GCF of Fractions 8895/596,7227/3165 is 3/1886340
Least Common Multiple of 596,3165 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 596,3165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,3165) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(596,3165) x common factors =1 x 1 = 1
LCM(596,3165) = ( 596 × 3165 ) / 1
LCM(596,3165) = 1886340 / 1
LCM(596,3165) = 1886340
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8895/596, 7227/3165
1. What is the HCF of 8895,7227?
The HCF of 8895,7227 is 3
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 8895/596, 7227/3165?
Answer: GCF of Numerators as per given numbers 8895/596, 7227/3165 is
GCF of Numerators i.e. for 8895,7227 is 3
LCM of denominators i.e. for 596,3165 is 1886340.
Thus, GCF of Fractions is 3/1886340.Finally, GCF of Fractions for 8895/596, 7227/3165 is 3/1886340.