GCD of 508, 238, 365, 900 Calculator

Given Input numbers are 508, 238, 365, 900

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (508, 238, 365, 900) = 1.

Given numbers are 508, 238, 365, 900

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 238 are 2 x 7 x 17

Prime factors of 365 are 5 x 73

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Given numbers are 508, 238, 365, 900

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

Apply this formula for all numbers.

Step1:

LCM(508, 238) = 60452

GCD(508, 238) = ( 508 x 238 ) / 60452

= 508 / 238

= 508

Step2:

LCM(2, 365) = 730

GCD(2, 365) = ( 2 x 365 ) / 730

= 2 / 365

= 2

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 508, 238, 365, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 471, 857, 102, 846
• GCD of 242, 600, 213, 336
• GCD of 469, 615, 552, 103
• GCD of 367, 917, 168, 139
• GCD of 662, 774, 512, 534

Given numbers are 508, 238, 365, 900
The greatest common divisor of numbers 508, 238, 365, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 238, 365, 900 is 1.

1. What is the GCD of 508, 238, 365, 900?

GCD of given numbers 508, 238, 365, 900 is 1

2. How to calculate the greatest common divisor of 508, 238, 365, 900?

We can find the highest common divisor of 508, 238, 365, 900 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 508, 238, 365, 900 i.e 1.

3. How can I use the GCD of 508, 238, 365, 900Calculator?

Out the numbers 508, 238, 365, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.