GCF of 9225/395, 1282/8129
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9225/395, 1282/8129 i.e 1/3210955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9225/395, 1282/8129.
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 9225/395,1282/8129?
Given fractions are 9225/395,1282/8129
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 9225/395,1282/8129, numerators are 9225,1282
Denominators are 395,8129
The GCF of 9225,1282 is 1 .
LCM of 395,8129 is 3210955.
The greatest common factor of 9225/395,1282/8129 = [GCF of 9225,1282]/[LCM of 395,8129]= 1/3210955
Therefore, the GCF of 9225/395,1282/8129 is 1/3210955.
To find the highest common factor of 9225,1282, we have to find the factors of both numbers and list the highest common factor.
The factors of 9225 are 1, 3, 5, 9, 15, 25, 41, 45, 75, 123, 205, 225, 369, 615, 1025, 1845, 3075, 9225
The factors of 1282 are 1, 2, 641, 1282
The HCF of 9225,1282 is 1.
Lets's calculate GCF of 9225,1282
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9225,1282 By Matching Biggest Common Factor Method
Now, list down the factors of 9225
:1,3,5,9,15,25,41,45,75,123,205,225,369,615,1025,1845,3075,9225
Now, list down the factors of 1282
:1,2,641,1282
Greatest Common Factor
We found the factors 9225,1282 . The biggest common factor number is the GCF number.
So the greatest common factor 9225,1282 is 1.
Lets's calculate LCM of 395,8129
Given numbers has no common factors except 1. So, there LCM is their product i.e 3210955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3210955
Therefore, the GCF of Fractions 9225/395,1282/8129 is 1/3210955
Least Common Multiple of 395,8129 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 395,8129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,8129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(395,8129) x common factors =1 x 1 = 1
LCM(395,8129) = ( 395 × 8129 ) / 1
LCM(395,8129) = 3210955 / 1
LCM(395,8129) = 3210955
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FAQs on GCF of Fractions of 9225/395, 1282/8129
1. What is the HCF of 9225,1282?
The HCF of 9225,1282 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 9225/395, 1282/8129?
Answer: GCF of Numerators as per given numbers 9225/395, 1282/8129 is
GCF of Numerators i.e. for 9225,1282 is 1
LCM of denominators i.e. for 395,8129 is 3210955.
Thus, GCF of Fractions is 1/3210955.Finally, GCF of Fractions for 9225/395, 1282/8129 is 1/3210955.