GCF of 2964/512, 6327/192
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2964/512, 6327/192 i.e 57/1536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2964/512, 6327/192.
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 2964/512,6327/192?
Given fractions are 2964/512,6327/192
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 2964/512,6327/192, numerators are 2964,6327
Denominators are 512,192
The GCF of 2964,6327 is 57 .
LCM of 512,192 is 1536.
The greatest common factor of 2964/512,6327/192 = [GCF of 2964,6327]/[LCM of 512,192]= 57/1536
Therefore, the GCF of 2964/512,6327/192 is 57/1536.
To find the highest common factor of 2964,6327, we have to find the factors of both numbers and list the highest common factor.
The factors of 2964 are 1, 2, 3, 4, 6, 12, 13, 19, 26, 38, 39, 52, 57, 76, 78, 114, 156, 228, 247, 494, 741, 988, 1482, 2964
The factors of 6327 are 1, 3, 9, 19, 37, 57, 111, 171, 333, 703, 2109, 6327
The HCF of 2964,6327 is 57.
Lets's calculate GCF of 2964,6327
| 3 | 2964, 6327 |
| 19 | 988, 2109 |
| 52, 111 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Greatest Common Factor of 2964,6327 By Matching Biggest Common Factor Method
Now, list down the factors of 2964
:1,2,3,4,6,12,13,19,26,38,39,52,57,76,78,114,156,228,247,494,741,988,1482,2964
Now, list down the factors of 6327
:1,3,9,19,37,57,111,171,333,703,2109,6327
Greatest Common Factor
We found the factors 2964,6327 . The biggest common factor number is the GCF number.
So the greatest common factor 2964,6327 is 57.
Lets's calculate LCM of 512,192
| 2 | 512, 192 |
| 2 | 256, 96 |
| 2 | 128, 48 |
| 2 | 64, 24 |
| 2 | 32, 12 |
| 2 | 16, 6 |
| 8, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 8 x 3 = 1536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/1536
Therefore, the GCF of Fractions 2964/512,6327/192 is 57/1536
Least Common Multiple of 512,192 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 512,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,192) = 64
common factors(in case of two or more numbers have common factors) = 1
GCF(512,192) x common factors =64 x 1 = 64
LCM(512,192) = ( 512 × 192 ) / 64
LCM(512,192) = 98304 / 64
LCM(512,192) = 1536
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2964/512, 6327/192
1. What is the HCF of 2964,6327?
The HCF of 2964,6327 is 57
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 2964/512, 6327/192?
Answer: GCF of Numerators as per given numbers 2964/512, 6327/192 is
GCF of Numerators i.e. for 2964,6327 is 57
LCM of denominators i.e. for 512,192 is 1536.
Thus, GCF of Fractions is 57/1536.Finally, GCF of Fractions for 2964/512, 6327/192 is 57/1536.