GCF of 8229/549, 1932/1711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8229/549, 1932/1711 i.e 3/939339 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8229/549, 1932/1711.
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 8229/549,1932/1711?
Given fractions are 8229/549,1932/1711
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 8229/549,1932/1711, numerators are 8229,1932
Denominators are 549,1711
The GCF of 8229,1932 is 3 .
LCM of 549,1711 is 939339.
The greatest common factor of 8229/549,1932/1711 = [GCF of 8229,1932]/[LCM of 549,1711]= 3/939339
Therefore, the GCF of 8229/549,1932/1711 is 3/939339.
To find the highest common factor of 8229,1932, we have to find the factors of both numbers and list the highest common factor.
The factors of 8229 are 1, 3, 13, 39, 211, 633, 2743, 8229
The factors of 1932 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932
The HCF of 8229,1932 is 3.
Lets's calculate GCF of 8229,1932
| 3 | 8229, 1932 |
| 2743, 644 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8229,1932 By Matching Biggest Common Factor Method
Now, list down the factors of 8229
:1,3,13,39,211,633,2743,8229
Now, list down the factors of 1932
:1,2,3,4,6,7,12,14,21,23,28,42,46,69,84,92,138,161,276,322,483,644,966,1932
Greatest Common Factor
We found the factors 8229,1932 . The biggest common factor number is the GCF number.
So the greatest common factor 8229,1932 is 3.
Lets's calculate LCM of 549,1711
Given numbers has no common factors except 1. So, there LCM is their product i.e 939339
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/939339
Therefore, the GCF of Fractions 8229/549,1932/1711 is 3/939339
Least Common Multiple of 549,1711 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 549,1711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,1711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(549,1711) x common factors =1 x 1 = 1
LCM(549,1711) = ( 549 × 1711 ) / 1
LCM(549,1711) = 939339 / 1
LCM(549,1711) = 939339
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FAQs on GCF of Fractions of 8229/549, 1932/1711
1. What is the HCF of 8229,1932?
The HCF of 8229,1932 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 8229/549, 1932/1711?
Answer: GCF of Numerators as per given numbers 8229/549, 1932/1711 is
GCF of Numerators i.e. for 8229,1932 is 3
LCM of denominators i.e. for 549,1711 is 939339.
Thus, GCF of Fractions is 3/939339.Finally, GCF of Fractions for 8229/549, 1932/1711 is 3/939339.