GCD of 354, 999, 705, 155 Calculator

Given Input numbers are 354, 999, 705, 155

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 155 :

The positive integer divisors of 155 that completely divides 155 are.

1, 5, 31, 155

GCD of numbers is the greatest common divisor

So, the GCD (354, 999, 705, 155) = 1.

Given numbers are 354, 999, 705, 155

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 999 are 3 x 3 x 3 x 37

Prime factors of 705 are 3 x 5 x 47

Prime factors of 155 are 5 x 31

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

Given numbers are 354, 999, 705, 155

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

Apply this formula for all numbers.

Step1:

LCM(354, 999) = 117882

GCD(354, 999) = ( 354 x 999 ) / 117882

= 354 / 999

= 354

Step2:

LCM(3, 705) = 705

GCD(3, 705) = ( 3 x 705 ) / 705

= 3 / 705

= 3

Step3:

LCM(3, 155) = 465

GCD(3, 155) = ( 3 x 155 ) / 465

= 3 / 155

= 3

So, Greatest Common Divisor of 354, 999, 705, 155 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 667, 921, 486, 819
• GCD of 568, 368, 531, 835
• GCD of 812, 266, 466, 871
• GCD of 580, 339, 355, 107
• GCD of 945, 842, 247, 413

Given numbers are 354, 999, 705, 155
The greatest common divisor of numbers 354, 999, 705, 155 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 999, 705, 155 is 1.

1. What is the GCD of 354, 999, 705, 155?

GCD of given numbers 354, 999, 705, 155 is 1

2. How to calculate the greatest common divisor of 354, 999, 705, 155?

We can find the highest common divisor of 354, 999, 705, 155 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 354, 999, 705, 155 i.e 1.

3. How can I use the GCD of 354, 999, 705, 155Calculator?

Out the numbers 354, 999, 705, 155 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.