GCD of 400, 289, 738, 283 Calculator

Given Input numbers are 400, 289, 738, 283

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 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 283 :

The positive integer divisors of 283 that completely divides 283 are.

1, 283

GCD of numbers is the greatest common divisor

So, the GCD (400, 289, 738, 283) = 1.

Given numbers are 400, 289, 738, 283

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 289 are 17 x 17

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 283 are 283

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

Given numbers are 400, 289, 738, 283

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

Apply this formula for all numbers.

Step1:

LCM(400, 289) = 115600

GCD(400, 289) = ( 400 x 289 ) / 115600

= 400 / 289

= 400

Step2:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1

Step3:

LCM(1, 283) = 283

GCD(1, 283) = ( 1 x 283 ) / 283

= 1 / 283

= 1

So, Greatest Common Divisor of 400, 289, 738, 283 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 923, 216, 839
• GCD of 367, 555, 981, 718
• GCD of 680, 619, 128, 892
• GCD of 882, 871, 403, 827
• GCD of 778, 780, 174, 202

Given numbers are 400, 289, 738, 283
The greatest common divisor of numbers 400, 289, 738, 283 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 289, 738, 283 is 1.

1. What is the GCD of 400, 289, 738, 283?

GCD of given numbers 400, 289, 738, 283 is 1

2. How to calculate the greatest common divisor of 400, 289, 738, 283?

We can find the highest common divisor of 400, 289, 738, 283 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, 289, 738, 283 i.e 1.

3. How can I use the GCD of 400, 289, 738, 283Calculator?

Out the numbers 400, 289, 738, 283 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.