Online GCD Calculator is useful to find the GCD of 362, 826, 468, 744 quickly. Get the easiest ways to solve the greatest common divisor of 362, 826, 468, 744 i.e 2 in different methods as follows.
Given Input numbers are 362, 826, 468, 744
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 826 :
The positive integer divisors of 826 that completely divides 826 are.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
GCD of numbers is the greatest common divisor
So, the GCD (362, 826, 468, 744) = 2.
Given numbers are 362, 826, 468, 744
The list of prime factors of all numbers are
Prime factors of 362 are 2 x 181
Prime factors of 826 are 2 x 7 x 59
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
The highest common occurrence is 21
Therefore, GCD of 362, 826, 468, 744 is 2.
Given numbers are 362, 826, 468, 744
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(362, 826) = 149506
GCD(362, 826) = ( 362 x 826 ) / 149506
= 362 / 826
= 362
Step2:
LCM(2, 468) = 468
GCD(2, 468) = ( 2 x 468 ) / 468
= 2 / 468
= 2
Step3:
LCM(2, 744) = 744
GCD(2, 744) = ( 2 x 744 ) / 744
= 2 / 744
= 2
So, Greatest Common Divisor of 362, 826, 468, 744 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 362, 826, 468, 744
The greatest common divisor of numbers 362, 826, 468, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 826, 468, 744 is 2.
1. What is the GCD of 362, 826, 468, 744?
GCD of given numbers 362, 826, 468, 744 is 2
2. How to calculate the greatest common divisor of 362, 826, 468, 744?
We can find the highest common divisor of 362, 826, 468, 744 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, 826, 468, 744 i.e 2.
3. How can I use the GCD of 362, 826, 468, 744Calculator?
Out the numbers 362, 826, 468, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.