GCD of 538, 374, 745, 162 Calculator

Given Input numbers are 538, 374, 745, 162

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (538, 374, 745, 162) = 1.

Given numbers are 538, 374, 745, 162

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 374 are 2 x 11 x 17

Prime factors of 745 are 5 x 149

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

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

Given numbers are 538, 374, 745, 162

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

Apply this formula for all numbers.

Step1:

LCM(538, 374) = 100606

GCD(538, 374) = ( 538 x 374 ) / 100606

= 538 / 374

= 538

Step2:

LCM(2, 745) = 1490

GCD(2, 745) = ( 2 x 745 ) / 1490

= 2 / 745

= 2

Step3:

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

= 1 / 162

= 1

So, Greatest Common Divisor of 538, 374, 745, 162 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 526, 687, 363
• GCD of 250, 677, 287, 216
• GCD of 394, 929, 340, 137
• GCD of 412, 151, 815, 174
• GCD of 215, 113, 968, 284

Given numbers are 538, 374, 745, 162
The greatest common divisor of numbers 538, 374, 745, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 374, 745, 162 is 1.

1. What is the GCD of 538, 374, 745, 162?

GCD of given numbers 538, 374, 745, 162 is 1

2. How to calculate the greatest common divisor of 538, 374, 745, 162?

We can find the highest common divisor of 538, 374, 745, 162 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 538, 374, 745, 162 i.e 1.

3. How can I use the GCD of 538, 374, 745, 162Calculator?

Out the numbers 538, 374, 745, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.