GCD of 345, 520, 400, 358 Calculator

Given Input numbers are 345, 520, 400, 358

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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 358 :

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

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (345, 520, 400, 358) = 1.

Given numbers are 345, 520, 400, 358

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

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

Prime factors of 358 are 2 x 179

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

Given numbers are 345, 520, 400, 358

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

Apply this formula for all numbers.

Step1:

LCM(345, 520) = 35880

GCD(345, 520) = ( 345 x 520 ) / 35880

= 345 / 520

= 345

Step2:

LCM(5, 400) = 400

GCD(5, 400) = ( 5 x 400 ) / 400

= 5 / 400

= 5

Step3:

LCM(5, 358) = 1790

GCD(5, 358) = ( 5 x 358 ) / 1790

= 5 / 358

= 5

So, Greatest Common Divisor of 345, 520, 400, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 801, 257, 235
• GCD of 968, 614, 110, 738
• GCD of 297, 274, 214, 932
• GCD of 105, 633, 533, 203
• GCD of 218, 569, 127, 640

Given numbers are 345, 520, 400, 358
The greatest common divisor of numbers 345, 520, 400, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 520, 400, 358 is 1.

1. What is the GCD of 345, 520, 400, 358?

GCD of given numbers 345, 520, 400, 358 is 1

2. How to calculate the greatest common divisor of 345, 520, 400, 358?

We can find the highest common divisor of 345, 520, 400, 358 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 345, 520, 400, 358 i.e 1.

3. How can I use the GCD of 345, 520, 400, 358Calculator?

Out the numbers 345, 520, 400, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.