GCD of 170, 675, 738, 990 Calculator

Given Input numbers are 170, 675, 738, 990

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (170, 675, 738, 990) = 1.

Given numbers are 170, 675, 738, 990

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Given numbers are 170, 675, 738, 990

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

Apply this formula for all numbers.

Step1:

LCM(170, 675) = 22950

GCD(170, 675) = ( 170 x 675 ) / 22950

= 170 / 675

= 170

Step2:

LCM(5, 738) = 3690

GCD(5, 738) = ( 5 x 738 ) / 3690

= 5 / 738

= 5

Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

So, Greatest Common Divisor of 170, 675, 738, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 792, 426, 853, 376
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• GCD of 431, 225, 754, 349

Given numbers are 170, 675, 738, 990
The greatest common divisor of numbers 170, 675, 738, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 675, 738, 990 is 1.

1. What is the GCD of 170, 675, 738, 990?

GCD of given numbers 170, 675, 738, 990 is 1

2. How to calculate the greatest common divisor of 170, 675, 738, 990?

We can find the highest common divisor of 170, 675, 738, 990 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 170, 675, 738, 990 i.e 1.

3. How can I use the GCD of 170, 675, 738, 990Calculator?

Out the numbers 170, 675, 738, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.