GCF of 9633/827, 4083/341
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9633/827, 4083/341 i.e 3/282007 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9633/827, 4083/341.
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 9633/827,4083/341?
Given fractions are 9633/827,4083/341
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 9633/827,4083/341, numerators are 9633,4083
Denominators are 827,341
The GCF of 9633,4083 is 3 .
LCM of 827,341 is 282007.
The greatest common factor of 9633/827,4083/341 = [GCF of 9633,4083]/[LCM of 827,341]= 3/282007
Therefore, the GCF of 9633/827,4083/341 is 3/282007.
To find the highest common factor of 9633,4083, we have to find the factors of both numbers and list the highest common factor.
The factors of 9633 are 1, 3, 13, 19, 39, 57, 169, 247, 507, 741, 3211, 9633
The factors of 4083 are 1, 3, 1361, 4083
The HCF of 9633,4083 is 3.
Lets's calculate GCF of 9633,4083
| 3 | 9633, 4083 |
| 3211, 1361 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9633,4083 By Matching Biggest Common Factor Method
Now, list down the factors of 9633
:1,3,13,19,39,57,169,247,507,741,3211,9633
Now, list down the factors of 4083
:1,3,1361,4083
Greatest Common Factor
We found the factors 9633,4083 . The biggest common factor number is the GCF number.
So the greatest common factor 9633,4083 is 3.
Lets's calculate LCM of 827,341
Given numbers has no common factors except 1. So, there LCM is their product i.e 282007
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/282007
Therefore, the GCF of Fractions 9633/827,4083/341 is 3/282007
Least Common Multiple of 827,341 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 827,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,341) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,341) x common factors =1 x 1 = 1
LCM(827,341) = ( 827 × 341 ) / 1
LCM(827,341) = 282007 / 1
LCM(827,341) = 282007
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FAQs on GCF of Fractions of 9633/827, 4083/341
1. What is the HCF of 9633,4083?
The HCF of 9633,4083 is 3
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 9633/827, 4083/341?
Answer: GCF of Numerators as per given numbers 9633/827, 4083/341 is
GCF of Numerators i.e. for 9633,4083 is 3
LCM of denominators i.e. for 827,341 is 282007.
Thus, GCF of Fractions is 3/282007.Finally, GCF of Fractions for 9633/827, 4083/341 is 3/282007.