GCF of 5916/472, 2016/548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5916/472, 2016/548 i.e 12/64664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5916/472, 2016/548.
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 5916/472,2016/548?
Given fractions are 5916/472,2016/548
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 5916/472,2016/548, numerators are 5916,2016
Denominators are 472,548
The GCF of 5916,2016 is 12 .
LCM of 472,548 is 64664.
The greatest common factor of 5916/472,2016/548 = [GCF of 5916,2016]/[LCM of 472,548]= 12/64664
Therefore, the GCF of 5916/472,2016/548 is 12/64664.
To find the highest common factor of 5916,2016, we have to find the factors of both numbers and list the highest common factor.
The factors of 5916 are 1, 2, 3, 4, 6, 12, 17, 29, 34, 51, 58, 68, 87, 102, 116, 174, 204, 348, 493, 986, 1479, 1972, 2958, 5916
The factors of 2016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016
The HCF of 5916,2016 is 12.
Lets's calculate GCF of 5916,2016
| 2 | 5916, 2016 |
| 2 | 2958, 1008 |
| 3 | 1479, 504 |
| 493, 168 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5916,2016 By Matching Biggest Common Factor Method
Now, list down the factors of 5916
:1,2,3,4,6,12,17,29,34,51,58,68,87,102,116,174,204,348,493,986,1479,1972,2958,5916
Now, list down the factors of 2016
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,72,84,96,112,126,144,168,224,252,288,336,504,672,1008,2016
Greatest Common Factor
We found the factors 5916,2016 . The biggest common factor number is the GCF number.
So the greatest common factor 5916,2016 is 12.
Lets's calculate LCM of 472,548
| 2 | 472, 548 |
| 2 | 236, 274 |
| 118, 137 |
∴ So the LCM of the given numbers is 2 x 2 x 118 x 137 = 64664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/64664
Therefore, the GCF of Fractions 5916/472,2016/548 is 12/64664
Least Common Multiple of 472,548 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 472,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,548) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(472,548) x common factors =4 x 1 = 4
LCM(472,548) = ( 472 × 548 ) / 4
LCM(472,548) = 258656 / 4
LCM(472,548) = 64664
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FAQs on GCF of Fractions of 5916/472, 2016/548
1. What is the HCF of 5916,2016?
The HCF of 5916,2016 is 12
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 5916/472, 2016/548?
Answer: GCF of Numerators as per given numbers 5916/472, 2016/548 is
GCF of Numerators i.e. for 5916,2016 is 12
LCM of denominators i.e. for 472,548 is 64664.
Thus, GCF of Fractions is 12/64664.Finally, GCF of Fractions for 5916/472, 2016/548 is 12/64664.