GCD of 138, 159, 574, 170 Calculator

Given Input numbers are 138, 159, 574, 170

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 170 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (138, 159, 574, 170) = 1.

Given numbers are 138, 159, 574, 170

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 159 are 3 x 53

Prime factors of 574 are 2 x 7 x 41

Prime factors of 170 are 2 x 5 x 17

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

Given numbers are 138, 159, 574, 170

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

Apply this formula for all numbers.

Step1:

LCM(138, 159) = 7314

GCD(138, 159) = ( 138 x 159 ) / 7314

= 138 / 159

= 138

Step2:

LCM(3, 574) = 1722

GCD(3, 574) = ( 3 x 574 ) / 1722

= 3 / 574

= 3

Step3:

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

= 1 / 170

= 1

So, Greatest Common Divisor of 138, 159, 574, 170 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 959, 247, 993, 654
• GCD of 939, 535, 676, 929
• GCD of 818, 864, 791, 572
• GCD of 369, 465, 836, 587
• GCD of 926, 512, 438, 304

Given numbers are 138, 159, 574, 170
The greatest common divisor of numbers 138, 159, 574, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 159, 574, 170 is 1.

1. What is the GCD of 138, 159, 574, 170?

GCD of given numbers 138, 159, 574, 170 is 1

2. How to calculate the greatest common divisor of 138, 159, 574, 170?

We can find the highest common divisor of 138, 159, 574, 170 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 138, 159, 574, 170 i.e 1.

3. How can I use the GCD of 138, 159, 574, 170Calculator?

Out the numbers 138, 159, 574, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.