Online GCD Calculator is useful to find the GCD of 362, 648, 858, 402 quickly. Get the easiest ways to solve the greatest common divisor of 362, 648, 858, 402 i.e 2 in different methods as follows.
Given Input numbers are 362, 648, 858, 402
In the factoring method, we have to find the divisors of all numbers
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 858 :
The positive integer divisors of 858 that completely divides 858 are.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
GCD of numbers is the greatest common divisor
So, the GCD (362, 648, 858, 402) = 2.
Given numbers are 362, 648, 858, 402
The list of prime factors of all numbers are
Prime factors of 362 are 2 x 181
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 402 are 2 x 3 x 67
The highest common occurrence is 21
Therefore, GCD of 362, 648, 858, 402 is 2.
Given numbers are 362, 648, 858, 402
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(362, 648) = 117288
GCD(362, 648) = ( 362 x 648 ) / 117288
= 362 / 648
= 362
Step2:
LCM(2, 858) = 858
GCD(2, 858) = ( 2 x 858 ) / 858
= 2 / 858
= 2
Step3:
LCM(2, 402) = 402
GCD(2, 402) = ( 2 x 402 ) / 402
= 2 / 402
= 2
So, Greatest Common Divisor of 362, 648, 858, 402 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 362, 648, 858, 402
The greatest common divisor of numbers 362, 648, 858, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 648, 858, 402 is 2.
1. What is the GCD of 362, 648, 858, 402?
GCD of given numbers 362, 648, 858, 402 is 2
2. How to calculate the greatest common divisor of 362, 648, 858, 402?
We can find the highest common divisor of 362, 648, 858, 402 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 362, 648, 858, 402 i.e 2.
3. How can I use the GCD of 362, 648, 858, 402Calculator?
Out the numbers 362, 648, 858, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.