GCD of 358, 500, 569, 461 Calculator

Given Input numbers are 358, 500, 569, 461

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

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 569 :

The positive integer divisors of 569 that completely divides 569 are.

1, 569

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

GCD of numbers is the greatest common divisor

So, the GCD (358, 500, 569, 461) = 1.

Given numbers are 358, 500, 569, 461

The list of prime factors of all numbers are

Prime factors of 358 are 2 x 179

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 569 are 569

Prime factors of 461 are 461

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

Given numbers are 358, 500, 569, 461

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

Apply this formula for all numbers.

Step1:

LCM(358, 500) = 89500

GCD(358, 500) = ( 358 x 500 ) / 89500

= 358 / 500

= 358

Step2:

LCM(2, 569) = 1138

GCD(2, 569) = ( 2 x 569 ) / 1138

= 2 / 569

= 2

Step3:

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

= 1 / 461

= 1

So, Greatest Common Divisor of 358, 500, 569, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 485, 183, 568
• GCD of 102, 334, 739, 586
• GCD of 311, 575, 226, 136
• GCD of 703, 813, 635, 797
• GCD of 816, 268, 458, 890

Given numbers are 358, 500, 569, 461
The greatest common divisor of numbers 358, 500, 569, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 500, 569, 461 is 1.

1. What is the GCD of 358, 500, 569, 461?

GCD of given numbers 358, 500, 569, 461 is 1

2. How to calculate the greatest common divisor of 358, 500, 569, 461?

We can find the highest common divisor of 358, 500, 569, 461 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 358, 500, 569, 461 i.e 1.

3. How can I use the GCD of 358, 500, 569, 461Calculator?

Out the numbers 358, 500, 569, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.