GCF of 5216/636, 3168/1815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5216/636, 3168/1815 i.e 32/384780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5216/636, 3168/1815.
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 5216/636,3168/1815?
Given fractions are 5216/636,3168/1815
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 5216/636,3168/1815, numerators are 5216,3168
Denominators are 636,1815
The GCF of 5216,3168 is 32 .
LCM of 636,1815 is 384780.
The greatest common factor of 5216/636,3168/1815 = [GCF of 5216,3168]/[LCM of 636,1815]= 32/384780
Therefore, the GCF of 5216/636,3168/1815 is 32/384780.
To find the highest common factor of 5216,3168, we have to find the factors of both numbers and list the highest common factor.
The factors of 5216 are 1, 2, 4, 8, 16, 32, 163, 326, 652, 1304, 2608, 5216
The factors of 3168 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 66, 72, 88, 96, 99, 132, 144, 176, 198, 264, 288, 352, 396, 528, 792, 1056, 1584, 3168
The HCF of 5216,3168 is 32.
Lets's calculate GCF of 5216,3168
| 2 | 5216, 3168 |
| 2 | 2608, 1584 |
| 2 | 1304, 792 |
| 2 | 652, 396 |
| 2 | 326, 198 |
| 163, 99 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 5216,3168 By Matching Biggest Common Factor Method
Now, list down the factors of 5216
:1,2,4,8,16,32,163,326,652,1304,2608,5216
Now, list down the factors of 3168
:1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,66,72,88,96,99,132,144,176,198,264,288,352,396,528,792,1056,1584,3168
Greatest Common Factor
We found the factors 5216,3168 . The biggest common factor number is the GCF number.
So the greatest common factor 5216,3168 is 32.
Lets's calculate LCM of 636,1815
| 3 | 636, 1815 |
| 212, 605 |
∴ So the LCM of the given numbers is 3 x 212 x 605 = 384780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/384780
Therefore, the GCF of Fractions 5216/636,3168/1815 is 32/384780
Least Common Multiple of 636,1815 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 636,1815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,1815) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(636,1815) x common factors =3 x 1 = 3
LCM(636,1815) = ( 636 × 1815 ) / 3
LCM(636,1815) = 1154340 / 3
LCM(636,1815) = 384780
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FAQs on GCF of Fractions of 5216/636, 3168/1815
1. What is the HCF of 5216,3168?
The HCF of 5216,3168 is 32
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 5216/636, 3168/1815?
Answer: GCF of Numerators as per given numbers 5216/636, 3168/1815 is
GCF of Numerators i.e. for 5216,3168 is 32
LCM of denominators i.e. for 636,1815 is 384780.
Thus, GCF of Fractions is 32/384780.Finally, GCF of Fractions for 5216/636, 3168/1815 is 32/384780.