GCD of 358, 406, 345, 743 Calculator

Given Input numbers are 358, 406, 345, 743

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 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 345 :

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

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

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

GCD of numbers is the greatest common divisor

So, the GCD (358, 406, 345, 743) = 1.

Given numbers are 358, 406, 345, 743

The list of prime factors of all numbers are

Prime factors of 358 are 2 x 179

Prime factors of 406 are 2 x 7 x 29

Prime factors of 345 are 3 x 5 x 23

Prime factors of 743 are 743

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

Given numbers are 358, 406, 345, 743

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

Apply this formula for all numbers.

Step1:

LCM(358, 406) = 72674

GCD(358, 406) = ( 358 x 406 ) / 72674

= 358 / 406

= 358

Step2:

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

= 2 / 345

= 2

Step3:

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

= 1 / 743

= 1

So, Greatest Common Divisor of 358, 406, 345, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 504, 259, 210
• GCD of 646, 821, 937, 946
• GCD of 113, 789, 269, 301
• GCD of 354, 590, 376, 951
• GCD of 288, 968, 929, 728

Given numbers are 358, 406, 345, 743
The greatest common divisor of numbers 358, 406, 345, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 406, 345, 743 is 1.

1. What is the GCD of 358, 406, 345, 743?

GCD of given numbers 358, 406, 345, 743 is 1

2. How to calculate the greatest common divisor of 358, 406, 345, 743?

We can find the highest common divisor of 358, 406, 345, 743 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, 406, 345, 743 i.e 1.

3. How can I use the GCD of 358, 406, 345, 743Calculator?

Out the numbers 358, 406, 345, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.