GCD of 745, 308, 408, 900 Calculator

Given Input numbers are 745, 308, 408, 900

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

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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 (745, 308, 408, 900) = 1.

Given numbers are 745, 308, 408, 900

The list of prime factors of all numbers are

Prime factors of 745 are 5 x 149

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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 745, 308, 408, 900

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

Apply this formula for all numbers.

Step1:

LCM(745, 308) = 229460

GCD(745, 308) = ( 745 x 308 ) / 229460

= 745 / 308

= 745

Step2:

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

= 1 / 408

= 1

Step3:

LCM(1, 900) = 900

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

= 1 / 900

= 1

So, Greatest Common Divisor of 745, 308, 408, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 298, 133, 773, 809
• GCD of 359, 781, 367, 220
• GCD of 242, 362, 201, 933
• GCD of 470, 892, 839, 150
• GCD of 338, 713, 603, 499

Given numbers are 745, 308, 408, 900
The greatest common divisor of numbers 745, 308, 408, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 745, 308, 408, 900 is 1.

1. What is the GCD of 745, 308, 408, 900?

GCD of given numbers 745, 308, 408, 900 is 1

2. How to calculate the greatest common divisor of 745, 308, 408, 900?

We can find the highest common divisor of 745, 308, 408, 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 745, 308, 408, 900 i.e 1.

3. How can I use the GCD of 745, 308, 408, 900Calculator?

Out the numbers 745, 308, 408, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.