GCD of 364, 624, 582, 938 Calculator

Given Input numbers are 364, 624, 582, 938

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 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 582 :

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

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

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

GCD of numbers is the greatest common divisor

So, the GCD (364, 624, 582, 938) = 2.

Given numbers are 364, 624, 582, 938

The list of prime factors of all numbers are

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

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 582 are 2 x 3 x 97

Prime factors of 938 are 2 x 7 x 67

The highest common occurrence is 2¹

Therefore, GCD of 364, 624, 582, 938 is 2.

Given numbers are 364, 624, 582, 938

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

Apply this formula for all numbers.

Step1:

LCM(364, 624) = 4368

GCD(364, 624) = ( 364 x 624 ) / 4368

= 364 / 624

= 364

Step2:

LCM(52, 582) = 15132

GCD(52, 582) = ( 52 x 582 ) / 15132

= 52 / 582

= 52

Step3:

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

= 2 / 938

= 2

So, Greatest Common Divisor of 364, 624, 582, 938 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 555, 312, 226
• GCD of 265, 889, 514, 305
• GCD of 201, 335, 976, 950
• GCD of 226, 552, 653, 383
• GCD of 349, 122, 264, 144

Given numbers are 364, 624, 582, 938
The greatest common divisor of numbers 364, 624, 582, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 624, 582, 938 is 2.

1. What is the GCD of 364, 624, 582, 938?

GCD of given numbers 364, 624, 582, 938 is 2

2. How to calculate the greatest common divisor of 364, 624, 582, 938?

We can find the highest common divisor of 364, 624, 582, 938 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, 624, 582, 938 i.e 2.

3. How can I use the GCD of 364, 624, 582, 938Calculator?

Out the numbers 364, 624, 582, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.