GCF of 9270/591, 1983/6823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9270/591, 1983/6823 i.e 3/4032393 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9270/591, 1983/6823.
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 9270/591,1983/6823?
Given fractions are 9270/591,1983/6823
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 9270/591,1983/6823, numerators are 9270,1983
Denominators are 591,6823
The GCF of 9270,1983 is 3 .
LCM of 591,6823 is 4032393.
The greatest common factor of 9270/591,1983/6823 = [GCF of 9270,1983]/[LCM of 591,6823]= 3/4032393
Therefore, the GCF of 9270/591,1983/6823 is 3/4032393.
To find the highest common factor of 9270,1983, we have to find the factors of both numbers and list the highest common factor.
The factors of 9270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 103, 206, 309, 515, 618, 927, 1030, 1545, 1854, 3090, 4635, 9270
The factors of 1983 are 1, 3, 661, 1983
The HCF of 9270,1983 is 3.
Lets's calculate GCF of 9270,1983
| 3 | 9270, 1983 |
| 3090, 661 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9270,1983 By Matching Biggest Common Factor Method
Now, list down the factors of 9270
:1,2,3,5,6,9,10,15,18,30,45,90,103,206,309,515,618,927,1030,1545,1854,3090,4635,9270
Now, list down the factors of 1983
:1,3,661,1983
Greatest Common Factor
We found the factors 9270,1983 . The biggest common factor number is the GCF number.
So the greatest common factor 9270,1983 is 3.
Lets's calculate LCM of 591,6823
Given numbers has no common factors except 1. So, there LCM is their product i.e 4032393
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4032393
Therefore, the GCF of Fractions 9270/591,1983/6823 is 3/4032393
Least Common Multiple of 591,6823 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 591,6823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,6823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(591,6823) x common factors =1 x 1 = 1
LCM(591,6823) = ( 591 × 6823 ) / 1
LCM(591,6823) = 4032393 / 1
LCM(591,6823) = 4032393
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FAQs on GCF of Fractions of 9270/591, 1983/6823
1. What is the HCF of 9270,1983?
The HCF of 9270,1983 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 9270/591, 1983/6823?
Answer: GCF of Numerators as per given numbers 9270/591, 1983/6823 is
GCF of Numerators i.e. for 9270,1983 is 3
LCM of denominators i.e. for 591,6823 is 4032393.
Thus, GCF of Fractions is 3/4032393.Finally, GCF of Fractions for 9270/591, 1983/6823 is 3/4032393.