GCD of 445, 725, 500, 362 Calculator

Given Input numbers are 445, 725, 500, 362

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

Divisors of 445 :

The positive integer divisors of 445 that completely divides 445 are.

1, 5, 89, 445

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

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 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (445, 725, 500, 362) = 1.

Given numbers are 445, 725, 500, 362

The list of prime factors of all numbers are

Prime factors of 445 are 5 x 89

Prime factors of 725 are 5 x 5 x 29

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

Prime factors of 362 are 2 x 181

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

Given numbers are 445, 725, 500, 362

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

Apply this formula for all numbers.

Step1:

LCM(445, 725) = 64525

GCD(445, 725) = ( 445 x 725 ) / 64525

= 445 / 725

= 445

Step2:

LCM(5, 500) = 500

GCD(5, 500) = ( 5 x 500 ) / 500

= 5 / 500

= 5

Step3:

LCM(5, 362) = 1810

GCD(5, 362) = ( 5 x 362 ) / 1810

= 5 / 362

= 5

So, Greatest Common Divisor of 445, 725, 500, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 546, 766, 153
• GCD of 659, 693, 989, 106
• GCD of 158, 685, 164, 234
• GCD of 680, 257, 974, 198
• GCD of 208, 354, 614, 333

Given numbers are 445, 725, 500, 362
The greatest common divisor of numbers 445, 725, 500, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 445, 725, 500, 362 is 1.

1. What is the GCD of 445, 725, 500, 362?

GCD of given numbers 445, 725, 500, 362 is 1

2. How to calculate the greatest common divisor of 445, 725, 500, 362?

We can find the highest common divisor of 445, 725, 500, 362 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 445, 725, 500, 362 i.e 1.

3. How can I use the GCD of 445, 725, 500, 362Calculator?

Out the numbers 445, 725, 500, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.