GCF of 990/543, 2805/465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 990/543, 2805/465 i.e 165/84165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 990/543, 2805/465.
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 990/543,2805/465?
Given fractions are 990/543,2805/465
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 990/543,2805/465, numerators are 990,2805
Denominators are 543,465
The GCF of 990,2805 is 165 .
LCM of 543,465 is 84165.
The greatest common factor of 990/543,2805/465 = [GCF of 990,2805]/[LCM of 543,465]= 165/84165
Therefore, the GCF of 990/543,2805/465 is 165/84165.
To find the highest common factor of 990,2805, we have to find the factors of both numbers and list the highest common factor.
The factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
The factors of 2805 are 1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935, 2805
The HCF of 990,2805 is 165.
Lets's calculate GCF of 990,2805
| 3 | 990, 2805 |
| 5 | 330, 935 |
| 11 | 66, 187 |
| 6, 17 |
∴ So the GCF of the given numbers is 3 x 5 x 11 = 165
Greatest Common Factor of 990,2805 By Matching Biggest Common Factor Method
Now, list down the factors of 990
:1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Now, list down the factors of 2805
:1,3,5,11,15,17,33,51,55,85,165,187,255,561,935,2805
Greatest Common Factor
We found the factors 990,2805 . The biggest common factor number is the GCF number.
So the greatest common factor 990,2805 is 165.
Lets's calculate LCM of 543,465
| 3 | 543, 465 |
| 181, 155 |
∴ So the LCM of the given numbers is 3 x 181 x 155 = 84165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 165/84165
Therefore, the GCF of Fractions 990/543,2805/465 is 165/84165
Least Common Multiple of 543,465 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 543,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,465) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(543,465) x common factors =3 x 1 = 3
LCM(543,465) = ( 543 × 465 ) / 3
LCM(543,465) = 252495 / 3
LCM(543,465) = 84165
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FAQs on GCF of Fractions of 990/543, 2805/465
1. What is the HCF of 990,2805?
The HCF of 990,2805 is 165
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 990/543, 2805/465?
Answer: GCF of Numerators as per given numbers 990/543, 2805/465 is
GCF of Numerators i.e. for 990,2805 is 165
LCM of denominators i.e. for 543,465 is 84165.
Thus, GCF of Fractions is 165/84165.Finally, GCF of Fractions for 990/543, 2805/465 is 165/84165.