GCD of 358, 128, 409, 172 Calculator

Given Input numbers are 358, 128, 409, 172

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 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (358, 128, 409, 172) = 1.

Given numbers are 358, 128, 409, 172

The list of prime factors of all numbers are

Prime factors of 358 are 2 x 179

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 409 are 409

Prime factors of 172 are 2 x 2 x 43

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

Given numbers are 358, 128, 409, 172

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

Apply this formula for all numbers.

Step1:

LCM(358, 128) = 22912

GCD(358, 128) = ( 358 x 128 ) / 22912

= 358 / 128

= 358

Step2:

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

= 2 / 409

= 2

Step3:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

So, Greatest Common Divisor of 358, 128, 409, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 105, 384, 260
• GCD of 874, 313, 304, 255
• GCD of 954, 171, 462, 906
• GCD of 100, 643, 849, 334
• GCD of 889, 815, 166, 606

Given numbers are 358, 128, 409, 172
The greatest common divisor of numbers 358, 128, 409, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 128, 409, 172 is 1.

1. What is the GCD of 358, 128, 409, 172?

GCD of given numbers 358, 128, 409, 172 is 1

2. How to calculate the greatest common divisor of 358, 128, 409, 172?

We can find the highest common divisor of 358, 128, 409, 172 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, 128, 409, 172 i.e 1.

3. How can I use the GCD of 358, 128, 409, 172Calculator?

Out the numbers 358, 128, 409, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.