Online GCD Calculator is useful to find the GCD of 642, 282, 189, 651 quickly. Get the easiest ways to solve the greatest common divisor of 642, 282, 189, 651 i.e 3 in different methods as follows.
Given Input numbers are 642, 282, 189, 651
In the factoring method, we have to find the divisors of all numbers
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 651 :
The positive integer divisors of 651 that completely divides 651 are.
1, 3, 7, 21, 31, 93, 217, 651
GCD of numbers is the greatest common divisor
So, the GCD (642, 282, 189, 651) = 3.
Given numbers are 642, 282, 189, 651
The list of prime factors of all numbers are
Prime factors of 642 are 2 x 3 x 107
Prime factors of 282 are 2 x 3 x 47
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 651 are 3 x 7 x 31
The highest common occurrence is 31
Therefore, GCD of 642, 282, 189, 651 is 3.
Given numbers are 642, 282, 189, 651
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(642, 282) = 30174
GCD(642, 282) = ( 642 x 282 ) / 30174
= 642 / 282
= 642
Step2:
LCM(6, 189) = 378
GCD(6, 189) = ( 6 x 189 ) / 378
= 6 / 189
= 6
Step3:
LCM(3, 651) = 651
GCD(3, 651) = ( 3 x 651 ) / 651
= 3 / 651
= 3
So, Greatest Common Divisor of 642, 282, 189, 651 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 642, 282, 189, 651
The greatest common divisor of numbers 642, 282, 189, 651 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 282, 189, 651 is 3.
1. What is the GCD of 642, 282, 189, 651?
GCD of given numbers 642, 282, 189, 651 is 3
2. How to calculate the greatest common divisor of 642, 282, 189, 651?
We can find the highest common divisor of 642, 282, 189, 651 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 642, 282, 189, 651 i.e 3.
3. How can I use the GCD of 642, 282, 189, 651Calculator?
Out the numbers 642, 282, 189, 651 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.