GCF of 9692/184, 4000/9431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9692/184, 4000/9431 i.e 4/1735304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9692/184, 4000/9431.
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 9692/184,4000/9431?
Given fractions are 9692/184,4000/9431
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 9692/184,4000/9431, numerators are 9692,4000
Denominators are 184,9431
The GCF of 9692,4000 is 4 .
LCM of 184,9431 is 1735304.
The greatest common factor of 9692/184,4000/9431 = [GCF of 9692,4000]/[LCM of 184,9431]= 4/1735304
Therefore, the GCF of 9692/184,4000/9431 is 4/1735304.
To find the highest common factor of 9692,4000, we have to find the factors of both numbers and list the highest common factor.
The factors of 9692 are 1, 2, 4, 2423, 4846, 9692
The factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000
The HCF of 9692,4000 is 4.
Lets's calculate GCF of 9692,4000
| 2 | 9692, 4000 |
| 2 | 4846, 2000 |
| 2423, 1000 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9692,4000 By Matching Biggest Common Factor Method
Now, list down the factors of 9692
:1,2,4,2423,4846,9692
Now, list down the factors of 4000
:1,2,4,5,8,10,16,20,25,32,40,50,80,100,125,160,200,250,400,500,800,1000,2000,4000
Greatest Common Factor
We found the factors 9692,4000 . The biggest common factor number is the GCF number.
So the greatest common factor 9692,4000 is 4.
Lets's calculate LCM of 184,9431
Given numbers has no common factors except 1. So, there LCM is their product i.e 1735304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1735304
Therefore, the GCF of Fractions 9692/184,4000/9431 is 4/1735304
Least Common Multiple of 184,9431 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 184,9431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,9431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(184,9431) x common factors =1 x 1 = 1
LCM(184,9431) = ( 184 × 9431 ) / 1
LCM(184,9431) = 1735304 / 1
LCM(184,9431) = 1735304
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FAQs on GCF of Fractions of 9692/184, 4000/9431
1. What is the HCF of 9692,4000?
The HCF of 9692,4000 is 4
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 9692/184, 4000/9431?
Answer: GCF of Numerators as per given numbers 9692/184, 4000/9431 is
GCF of Numerators i.e. for 9692,4000 is 4
LCM of denominators i.e. for 184,9431 is 1735304.
Thus, GCF of Fractions is 4/1735304.Finally, GCF of Fractions for 9692/184, 4000/9431 is 4/1735304.