Online GCD Calculator is useful to find the GCD of 660, 693, 462, 192 quickly. Get the easiest ways to solve the greatest common divisor of 660, 693, 462, 192 i.e 3 in different methods as follows.
Given Input numbers are 660, 693, 462, 192
In the factoring method, we have to find the divisors of all numbers
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 192 :
The positive integer divisors of 192 that completely divides 192 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
GCD of numbers is the greatest common divisor
So, the GCD (660, 693, 462, 192) = 3.
Given numbers are 660, 693, 462, 192
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 31
Therefore, GCD of 660, 693, 462, 192 is 3.
Given numbers are 660, 693, 462, 192
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 693) = 13860
GCD(660, 693) = ( 660 x 693 ) / 13860
= 660 / 693
= 660
Step2:
LCM(33, 462) = 462
GCD(33, 462) = ( 33 x 462 ) / 462
= 33 / 462
= 33
Step3:
LCM(33, 192) = 2112
GCD(33, 192) = ( 33 x 192 ) / 2112
= 33 / 192
= 33
So, Greatest Common Divisor of 660, 693, 462, 192 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 693, 462, 192
The greatest common divisor of numbers 660, 693, 462, 192 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 693, 462, 192 is 3.
1. What is the GCD of 660, 693, 462, 192?
GCD of given numbers 660, 693, 462, 192 is 3
2. How to calculate the greatest common divisor of 660, 693, 462, 192?
We can find the highest common divisor of 660, 693, 462, 192 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 660, 693, 462, 192 i.e 3.
3. How can I use the GCD of 660, 693, 462, 192Calculator?
Out the numbers 660, 693, 462, 192 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.