GCD of 358, 289, 52, 400 Calculator

Given Input numbers are 358, 289, 52, 400

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

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 289 :

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

1, 17, 289

Divisors of 52 :

The positive integer divisors of 52 that completely divides 52 are.

1, 2, 4, 13, 26, 52

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

GCD of numbers is the greatest common divisor

So, the GCD (358, 289, 52, 400) = 1.

Given numbers are 358, 289, 52, 400

The list of prime factors of all numbers are

Prime factors of 358 are 2 x 179

Prime factors of 289 are 17 x 17

Prime factors of 52 are 2 x 2 x 13

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

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

Given numbers are 358, 289, 52, 400

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

Apply this formula for all numbers.

Step1:

LCM(358, 289) = 103462

GCD(358, 289) = ( 358 x 289 ) / 103462

= 358 / 289

= 358

Step2:

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

= 1 / 52

= 1

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 358, 289, 52, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 414, 95, 664
• GCD of 674, 841, 49, 135
• GCD of 962, 306, 70, 756
• GCD of 999, 861, 38, 531
• GCD of 871, 147, 26, 728

Given numbers are 358, 289, 52, 400
The greatest common divisor of numbers 358, 289, 52, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 289, 52, 400 is 1.

1. What is the GCD of 358, 289, 52, 400?

GCD of given numbers 358, 289, 52, 400 is 1

2. How to calculate the greatest common divisor of 358, 289, 52, 400?

We can find the highest common divisor of 358, 289, 52, 400 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 358, 289, 52, 400 i.e 1.

3. How can I use the GCD of 358, 289, 52, 400Calculator?

Out the numbers 358, 289, 52, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.