GCF of 9523/689, 8965/3424
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9523/689, 8965/3424 i.e 1/2359136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9523/689, 8965/3424.
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 9523/689,8965/3424?
Given fractions are 9523/689,8965/3424
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 9523/689,8965/3424, numerators are 9523,8965
Denominators are 689,3424
The GCF of 9523,8965 is 1 .
LCM of 689,3424 is 2359136.
The greatest common factor of 9523/689,8965/3424 = [GCF of 9523,8965]/[LCM of 689,3424]= 1/2359136
Therefore, the GCF of 9523/689,8965/3424 is 1/2359136.
To find the highest common factor of 9523,8965, we have to find the factors of both numbers and list the highest common factor.
The factors of 9523 are 1, 89, 107, 9523
The factors of 8965 are 1, 5, 11, 55, 163, 815, 1793, 8965
The HCF of 9523,8965 is 1.
Lets's calculate GCF of 9523,8965
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9523,8965 By Matching Biggest Common Factor Method
Now, list down the factors of 9523
:1,89,107,9523
Now, list down the factors of 8965
:1,5,11,55,163,815,1793,8965
Greatest Common Factor
We found the factors 9523,8965 . The biggest common factor number is the GCF number.
So the greatest common factor 9523,8965 is 1.
Lets's calculate LCM of 689,3424
Given numbers has no common factors except 1. So, there LCM is their product i.e 2359136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2359136
Therefore, the GCF of Fractions 9523/689,8965/3424 is 1/2359136
Least Common Multiple of 689,3424 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 689,3424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,3424) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,3424) x common factors =1 x 1 = 1
LCM(689,3424) = ( 689 × 3424 ) / 1
LCM(689,3424) = 2359136 / 1
LCM(689,3424) = 2359136
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9523/689, 8965/3424
1. What is the HCF of 9523,8965?
The HCF of 9523,8965 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 9523/689, 8965/3424?
Answer: GCF of Numerators as per given numbers 9523/689, 8965/3424 is
GCF of Numerators i.e. for 9523,8965 is 1
LCM of denominators i.e. for 689,3424 is 2359136.
Thus, GCF of Fractions is 1/2359136.Finally, GCF of Fractions for 9523/689, 8965/3424 is 1/2359136.