GCF of 8223/872, 9819/491
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8223/872, 9819/491 i.e 3/428152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8223/872, 9819/491.
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 8223/872,9819/491?
Given fractions are 8223/872,9819/491
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 8223/872,9819/491, numerators are 8223,9819
Denominators are 872,491
The GCF of 8223,9819 is 3 .
LCM of 872,491 is 428152.
The greatest common factor of 8223/872,9819/491 = [GCF of 8223,9819]/[LCM of 872,491]= 3/428152
Therefore, the GCF of 8223/872,9819/491 is 3/428152.
To find the highest common factor of 8223,9819, 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 9819 are 1, 3, 9, 1091, 3273, 9819
The HCF of 8223,9819 is 3.
Lets's calculate GCF of 8223,9819
| 3 | 8223, 9819 |
| 2741, 3273 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8223,9819 By Matching Biggest Common Factor Method
Now, list down the factors of 8223
:1,3,2741,8223
Now, list down the factors of 9819
:1,3,9,1091,3273,9819
Greatest Common Factor
We found the factors 8223,9819 . The biggest common factor number is the GCF number.
So the greatest common factor 8223,9819 is 3.
Lets's calculate LCM of 872,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 428152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/428152
Therefore, the GCF of Fractions 8223/872,9819/491 is 3/428152
Least Common Multiple of 872,491 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 872,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(872,491) x common factors =1 x 1 = 1
LCM(872,491) = ( 872 × 491 ) / 1
LCM(872,491) = 428152 / 1
LCM(872,491) = 428152
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FAQs on GCF of Fractions of 8223/872, 9819/491
1. What is the HCF of 8223,9819?
The HCF of 8223,9819 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 8223/872, 9819/491?
Answer: GCF of Numerators as per given numbers 8223/872, 9819/491 is
GCF of Numerators i.e. for 8223,9819 is 3
LCM of denominators i.e. for 872,491 is 428152.
Thus, GCF of Fractions is 3/428152.Finally, GCF of Fractions for 8223/872, 9819/491 is 3/428152.