GCF of 8223/939, 6165/9639
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8223/939, 6165/9639 i.e 3/3017007 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8223/939, 6165/9639.
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 8223/939,6165/9639?
Given fractions are 8223/939,6165/9639
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 8223/939,6165/9639, numerators are 8223,6165
Denominators are 939,9639
The GCF of 8223,6165 is 3 .
LCM of 939,9639 is 3017007.
The greatest common factor of 8223/939,6165/9639 = [GCF of 8223,6165]/[LCM of 939,9639]= 3/3017007
Therefore, the GCF of 8223/939,6165/9639 is 3/3017007.
To find the highest common factor of 8223,6165, we have to find the factors of both numbers and list the highest common factor.
The factors of 8223 are 1, 3, 2741, 8223
The factors of 6165 are 1, 3, 5, 9, 15, 45, 137, 411, 685, 1233, 2055, 6165
The HCF of 8223,6165 is 3.
Lets's calculate GCF of 8223,6165
| 3 | 8223, 6165 |
| 2741, 2055 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8223,6165 By Matching Biggest Common Factor Method
Now, list down the factors of 8223
:1,3,2741,8223
Now, list down the factors of 6165
:1,3,5,9,15,45,137,411,685,1233,2055,6165
Greatest Common Factor
We found the factors 8223,6165 . The biggest common factor number is the GCF number.
So the greatest common factor 8223,6165 is 3.
Lets's calculate LCM of 939,9639
| 3 | 939, 9639 |
| 313, 3213 |
∴ So the LCM of the given numbers is 3 x 313 x 3213 = 3017007
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3017007
Therefore, the GCF of Fractions 8223/939,6165/9639 is 3/3017007
Least Common Multiple of 939,9639 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 939,9639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,9639) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(939,9639) x common factors =3 x 1 = 3
LCM(939,9639) = ( 939 × 9639 ) / 3
LCM(939,9639) = 9051021 / 3
LCM(939,9639) = 3017007
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FAQs on GCF of Fractions of 8223/939, 6165/9639
1. What is the HCF of 8223,6165?
The HCF of 8223,6165 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 8223/939, 6165/9639?
Answer: GCF of Numerators as per given numbers 8223/939, 6165/9639 is
GCF of Numerators i.e. for 8223,6165 is 3
LCM of denominators i.e. for 939,9639 is 3017007.
Thus, GCF of Fractions is 3/3017007.Finally, GCF of Fractions for 8223/939, 6165/9639 is 3/3017007.