GCF of 216/42, 546/72, 483/882
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 216/42, 546/72, 483/882 i.e 3/3528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 216/42, 546/72, 483/882.
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 216/42,546/72,483/882?
Given fractions are 216/42,546/72,483/882
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 216/42,546/72,483/882, numerators are 216,546,483
Denominators are 42,72,882
The GCF of 216,546,483 is 3 .
LCM of 42,72,882 is 3528.
The greatest common factor of 216/42,546/72,483/882 = [GCF of 216,546,483]/[LCM of 42,72,882]= 3/3528
Therefore, the GCF of 216/42,546/72,483/882 is 3/3528.
To find the highest common factor of 216,546,483, we have to find the factors of both numbers and list the highest common factor.
The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
The factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
The factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483
The HCF of 216,546,483 is 3.
Lets's calculate GCF of 216,546,483
| 3 | 216, 546, 483 |
| 72, 182, 161 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 216,546,483 By Matching Biggest Common Factor Method
Now, list down the factors of 216
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Now, list down the factors of 546
:1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Now, list down the factors of 483
:1,3,7,21,23,69,161,483
Greatest Common Factor
We found the factors 216,546,483 . The biggest common factor number is the GCF number.
So the greatest common factor 216,546,483 is 3.
Lets's calculate LCM of 42,72,882
| 2 | 42, 72, 882 |
| 3 | 21, 36, 441 |
| 3 | 7, 12, 147 |
| 7 | 7, 4, 49 |
| 1, 4, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 1 x 4 x 7 = 3528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3528
Therefore, the GCF of Fractions 216/42,546/72,483/882 is 3/3528
Least Common Multiple of 42,72,882 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 42,72,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,72,882) = 6
common factors(in case of two or more numbers have common factors) = 126
GCF(42,72,882) x common factors =6 x 126 = 756
LCM(42,72,882) = ( 42 × 72 × 882 ) / 756
LCM(42,72,882) = 2667168 / 756
LCM(42,72,882) = 3528
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FAQs on GCF of Fractions of 216/42, 546/72, 483/882
1. What is the HCF of 216,546,483?
The HCF of 216,546,483 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 216/42, 546/72, 483/882?
Answer: GCF of Numerators as per given numbers 216/42, 546/72, 483/882 is
GCF of Numerators i.e. for 216,546,483 is 3
LCM of denominators i.e. for 42,72,882 is 3528.
Thus, GCF of Fractions is 3/3528.Finally, GCF of Fractions for 216/42, 546/72, 483/882 is 3/3528.