GCF of 9332/415, 8423/4729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9332/415, 8423/4729 i.e 1/1962535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9332/415, 8423/4729.
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 9332/415,8423/4729?
Given fractions are 9332/415,8423/4729
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 9332/415,8423/4729, numerators are 9332,8423
Denominators are 415,4729
The GCF of 9332,8423 is 1 .
LCM of 415,4729 is 1962535.
The greatest common factor of 9332/415,8423/4729 = [GCF of 9332,8423]/[LCM of 415,4729]= 1/1962535
Therefore, the GCF of 9332/415,8423/4729 is 1/1962535.
To find the highest common factor of 9332,8423, we have to find the factors of both numbers and list the highest common factor.
The factors of 9332 are 1, 2, 4, 2333, 4666, 9332
The factors of 8423 are 1, 8423
The HCF of 9332,8423 is 1.
Lets's calculate GCF of 9332,8423
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9332,8423 By Matching Biggest Common Factor Method
Now, list down the factors of 9332
:1,2,4,2333,4666,9332
Now, list down the factors of 8423
:1,8423
Greatest Common Factor
We found the factors 9332,8423 . The biggest common factor number is the GCF number.
So the greatest common factor 9332,8423 is 1.
Lets's calculate LCM of 415,4729
Given numbers has no common factors except 1. So, there LCM is their product i.e 1962535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1962535
Therefore, the GCF of Fractions 9332/415,8423/4729 is 1/1962535
Least Common Multiple of 415,4729 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 415,4729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,4729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,4729) x common factors =1 x 1 = 1
LCM(415,4729) = ( 415 × 4729 ) / 1
LCM(415,4729) = 1962535 / 1
LCM(415,4729) = 1962535
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FAQs on GCF of Fractions of 9332/415, 8423/4729
1. What is the HCF of 9332,8423?
The HCF of 9332,8423 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 9332/415, 8423/4729?
Answer: GCF of Numerators as per given numbers 9332/415, 8423/4729 is
GCF of Numerators i.e. for 9332,8423 is 1
LCM of denominators i.e. for 415,4729 is 1962535.
Thus, GCF of Fractions is 1/1962535.Finally, GCF of Fractions for 9332/415, 8423/4729 is 1/1962535.