Online GCD Calculator is useful to find the GCD of 642, 506, 364, 336 quickly. Get the easiest ways to solve the greatest common divisor of 642, 506, 364, 336 i.e 2 in different methods as follows.
Given Input numbers are 642, 506, 364, 336
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 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (642, 506, 364, 336) = 2.
Given numbers are 642, 506, 364, 336
The list of prime factors of all numbers are
Prime factors of 642 are 2 x 3 x 107
Prime factors of 506 are 2 x 11 x 23
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 642, 506, 364, 336 is 2.
Given numbers are 642, 506, 364, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(642, 506) = 162426
GCD(642, 506) = ( 642 x 506 ) / 162426
= 642 / 506
= 642
Step2:
LCM(2, 364) = 364
GCD(2, 364) = ( 2 x 364 ) / 364
= 2 / 364
= 2
Step3:
LCM(2, 336) = 336
GCD(2, 336) = ( 2 x 336 ) / 336
= 2 / 336
= 2
So, Greatest Common Divisor of 642, 506, 364, 336 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 642, 506, 364, 336
The greatest common divisor of numbers 642, 506, 364, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 506, 364, 336 is 2.
1. What is the GCD of 642, 506, 364, 336?
GCD of given numbers 642, 506, 364, 336 is 2
2. How to calculate the greatest common divisor of 642, 506, 364, 336?
We can find the highest common divisor of 642, 506, 364, 336 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, 506, 364, 336 i.e 2.
3. How can I use the GCD of 642, 506, 364, 336Calculator?
Out the numbers 642, 506, 364, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.