GCF of 8295/451, 8227/2052
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8295/451, 8227/2052 i.e 1/925452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8295/451, 8227/2052.
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 8295/451,8227/2052?
Given fractions are 8295/451,8227/2052
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 8295/451,8227/2052, numerators are 8295,8227
Denominators are 451,2052
The GCF of 8295,8227 is 1 .
LCM of 451,2052 is 925452.
The greatest common factor of 8295/451,8227/2052 = [GCF of 8295,8227]/[LCM of 451,2052]= 1/925452
Therefore, the GCF of 8295/451,8227/2052 is 1/925452.
To find the highest common factor of 8295,8227, we have to find the factors of both numbers and list the highest common factor.
The factors of 8295 are 1, 3, 5, 7, 15, 21, 35, 79, 105, 237, 395, 553, 1185, 1659, 2765, 8295
The factors of 8227 are 1, 19, 433, 8227
The HCF of 8295,8227 is 1.
Lets's calculate GCF of 8295,8227
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8295,8227 By Matching Biggest Common Factor Method
Now, list down the factors of 8295
:1,3,5,7,15,21,35,79,105,237,395,553,1185,1659,2765,8295
Now, list down the factors of 8227
:1,19,433,8227
Greatest Common Factor
We found the factors 8295,8227 . The biggest common factor number is the GCF number.
So the greatest common factor 8295,8227 is 1.
Lets's calculate LCM of 451,2052
Given numbers has no common factors except 1. So, there LCM is their product i.e 925452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/925452
Therefore, the GCF of Fractions 8295/451,8227/2052 is 1/925452
Least Common Multiple of 451,2052 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 451,2052 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,2052) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,2052) x common factors =1 x 1 = 1
LCM(451,2052) = ( 451 × 2052 ) / 1
LCM(451,2052) = 925452 / 1
LCM(451,2052) = 925452
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FAQs on GCF of Fractions of 8295/451, 8227/2052
1. What is the HCF of 8295,8227?
The HCF of 8295,8227 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 8295/451, 8227/2052?
Answer: GCF of Numerators as per given numbers 8295/451, 8227/2052 is
GCF of Numerators i.e. for 8295,8227 is 1
LCM of denominators i.e. for 451,2052 is 925452.
Thus, GCF of Fractions is 1/925452.Finally, GCF of Fractions for 8295/451, 8227/2052 is 1/925452.