GCF of 6336/384, 3552/662
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6336/384, 3552/662 i.e 96/127104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6336/384, 3552/662.
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 6336/384,3552/662?
Given fractions are 6336/384,3552/662
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 6336/384,3552/662, numerators are 6336,3552
Denominators are 384,662
The GCF of 6336,3552 is 96 .
LCM of 384,662 is 127104.
The greatest common factor of 6336/384,3552/662 = [GCF of 6336,3552]/[LCM of 384,662]= 96/127104
Therefore, the GCF of 6336/384,3552/662 is 96/127104.
To find the highest common factor of 6336,3552, we have to find the factors of both numbers and list the highest common factor.
The factors of 6336 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 132, 144, 176, 192, 198, 264, 288, 352, 396, 528, 576, 704, 792, 1056, 1584, 2112, 3168, 6336
The factors of 3552 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 74, 96, 111, 148, 222, 296, 444, 592, 888, 1184, 1776, 3552
The HCF of 6336,3552 is 96.
Lets's calculate GCF of 6336,3552
| 2 | 6336, 3552 |
| 2 | 3168, 1776 |
| 2 | 1584, 888 |
| 2 | 792, 444 |
| 2 | 396, 222 |
| 3 | 198, 111 |
| 66, 37 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 = 96
Greatest Common Factor of 6336,3552 By Matching Biggest Common Factor Method
Now, list down the factors of 6336
:1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,64,66,72,88,96,99,132,144,176,192,198,264,288,352,396,528,576,704,792,1056,1584,2112,3168,6336
Now, list down the factors of 3552
:1,2,3,4,6,8,12,16,24,32,37,48,74,96,111,148,222,296,444,592,888,1184,1776,3552
Greatest Common Factor
We found the factors 6336,3552 . The biggest common factor number is the GCF number.
So the greatest common factor 6336,3552 is 96.
Lets's calculate LCM of 384,662
| 2 | 384, 662 |
| 192, 331 |
∴ So the LCM of the given numbers is 2 x 192 x 331 = 127104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 96/127104
Therefore, the GCF of Fractions 6336/384,3552/662 is 96/127104
Least Common Multiple of 384,662 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 384,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,662) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(384,662) x common factors =2 x 1 = 2
LCM(384,662) = ( 384 × 662 ) / 2
LCM(384,662) = 254208 / 2
LCM(384,662) = 127104
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6336/384, 3552/662
1. What is the HCF of 6336,3552?
The HCF of 6336,3552 is 96
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 6336/384, 3552/662?
Answer: GCF of Numerators as per given numbers 6336/384, 3552/662 is
GCF of Numerators i.e. for 6336,3552 is 96
LCM of denominators i.e. for 384,662 is 127104.
Thus, GCF of Fractions is 96/127104.Finally, GCF of Fractions for 6336/384, 3552/662 is 96/127104.