GCD of 584, 138, 529, 242 Calculator

Given Input numbers are 584, 138, 529, 242

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 529 :

The positive integer divisors of 529 that completely divides 529 are.

1, 23, 529

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (584, 138, 529, 242) = 1.

Given numbers are 584, 138, 529, 242

The list of prime factors of all numbers are

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 138 are 2 x 3 x 23

Prime factors of 529 are 23 x 23

Prime factors of 242 are 2 x 11 x 11

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

Given numbers are 584, 138, 529, 242

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

Apply this formula for all numbers.

Step1:

LCM(584, 138) = 40296

GCD(584, 138) = ( 584 x 138 ) / 40296

= 584 / 138

= 584

Step2:

LCM(2, 529) = 1058

GCD(2, 529) = ( 2 x 529 ) / 1058

= 2 / 529

= 2

Step3:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1

So, Greatest Common Divisor of 584, 138, 529, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 205, 223, 455, 364
• GCD of 531, 698, 656, 780
• GCD of 817, 494, 854, 866
• GCD of 385, 194, 190, 879
• GCD of 639, 845, 386, 519

Given numbers are 584, 138, 529, 242
The greatest common divisor of numbers 584, 138, 529, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 138, 529, 242 is 1.

1. What is the GCD of 584, 138, 529, 242?

GCD of given numbers 584, 138, 529, 242 is 1

2. How to calculate the greatest common divisor of 584, 138, 529, 242?

We can find the highest common divisor of 584, 138, 529, 242 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 584, 138, 529, 242 i.e 1.

3. How can I use the GCD of 584, 138, 529, 242Calculator?

Out the numbers 584, 138, 529, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.