GCD of 400, 723, 149, 803 Calculator

Given Input numbers are 400, 723, 149, 803

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 803 :

The positive integer divisors of 803 that completely divides 803 are.

1, 11, 73, 803

GCD of numbers is the greatest common divisor

So, the GCD (400, 723, 149, 803) = 1.

Given numbers are 400, 723, 149, 803

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 723 are 3 x 241

Prime factors of 149 are 149

Prime factors of 803 are 11 x 73

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

Given numbers are 400, 723, 149, 803

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

Apply this formula for all numbers.

Step1:

LCM(400, 723) = 289200

GCD(400, 723) = ( 400 x 723 ) / 289200

= 400 / 723

= 400

Step2:

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

= 1 / 149

= 1

Step3:

LCM(1, 803) = 803

GCD(1, 803) = ( 1 x 803 ) / 803

= 1 / 803

= 1

So, Greatest Common Divisor of 400, 723, 149, 803 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 166, 680, 111
• GCD of 237, 630, 294, 376
• GCD of 767, 106, 291, 168
• GCD of 594, 442, 327, 431
• GCD of 379, 578, 167, 773

Given numbers are 400, 723, 149, 803
The greatest common divisor of numbers 400, 723, 149, 803 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 723, 149, 803 is 1.

1. What is the GCD of 400, 723, 149, 803?

GCD of given numbers 400, 723, 149, 803 is 1

2. How to calculate the greatest common divisor of 400, 723, 149, 803?

We can find the highest common divisor of 400, 723, 149, 803 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 400, 723, 149, 803 i.e 1.

3. How can I use the GCD of 400, 723, 149, 803Calculator?

Out the numbers 400, 723, 149, 803 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.