GCD of 364, 582, 928, 967 Calculator

Given Input numbers are 364, 582, 928, 967

In the factoring method, we have to find the divisors of all numbers

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 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967

GCD of numbers is the greatest common divisor

So, the GCD (364, 582, 928, 967) = 1.

Given numbers are 364, 582, 928, 967

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 582 are 2 x 3 x 97

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 967 are 967

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 364, 582, 928, 967

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(364, 582) = 105924

GCD(364, 582) = ( 364 x 582 ) / 105924

= 364 / 582

= 364

Step2:

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

= 2 / 928

= 2

Step3:

LCM(2, 967) = 1934

GCD(2, 967) = ( 2 x 967 ) / 1934

= 2 / 967

= 2

So, Greatest Common Divisor of 364, 582, 928, 967 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 770, 715, 849, 654
• GCD of 790, 914, 145, 740
• GCD of 408, 304, 958, 753
• GCD of 729, 419, 139, 169
• GCD of 342, 189, 852, 563

Given numbers are 364, 582, 928, 967
The greatest common divisor of numbers 364, 582, 928, 967 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 582, 928, 967 is 1.

1. What is the GCD of 364, 582, 928, 967?

GCD of given numbers 364, 582, 928, 967 is 1

2. How to calculate the greatest common divisor of 364, 582, 928, 967?

We can find the highest common divisor of 364, 582, 928, 967 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 364, 582, 928, 967 i.e 1.

3. How can I use the GCD of 364, 582, 928, 967Calculator?

Out the numbers 364, 582, 928, 967 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.