Online GCD Calculator is useful to find the GCD of 362, 924, 554, 364 quickly. Get the easiest ways to solve the greatest common divisor of 362, 924, 554, 364 i.e 2 in different methods as follows.
Given Input numbers are 362, 924, 554, 364
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 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 554 :
The positive integer divisors of 554 that completely divides 554 are.
1, 2, 277, 554
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
GCD of numbers is the greatest common divisor
So, the GCD (362, 924, 554, 364) = 2.
Given numbers are 362, 924, 554, 364
The list of prime factors of all numbers are
Prime factors of 362 are 2 x 181
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 554 are 2 x 277
Prime factors of 364 are 2 x 2 x 7 x 13
The highest common occurrence is 21
Therefore, GCD of 362, 924, 554, 364 is 2.
Given numbers are 362, 924, 554, 364
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(362, 924) = 167244
GCD(362, 924) = ( 362 x 924 ) / 167244
= 362 / 924
= 362
Step2:
LCM(2, 554) = 554
GCD(2, 554) = ( 2 x 554 ) / 554
= 2 / 554
= 2
Step3:
LCM(2, 364) = 364
GCD(2, 364) = ( 2 x 364 ) / 364
= 2 / 364
= 2
So, Greatest Common Divisor of 362, 924, 554, 364 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 362, 924, 554, 364
The greatest common divisor of numbers 362, 924, 554, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 924, 554, 364 is 2.
1. What is the GCD of 362, 924, 554, 364?
GCD of given numbers 362, 924, 554, 364 is 2
2. How to calculate the greatest common divisor of 362, 924, 554, 364?
We can find the highest common divisor of 362, 924, 554, 364 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, 924, 554, 364 i.e 2.
3. How can I use the GCD of 362, 924, 554, 364Calculator?
Out the numbers 362, 924, 554, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.