GCD of 164, 938, 148, 494 Calculator

Given Input numbers are 164, 938, 148, 494

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

GCD of numbers is the greatest common divisor

So, the GCD (164, 938, 148, 494) = 2.

Given numbers are 164, 938, 148, 494

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 938 are 2 x 7 x 67

Prime factors of 148 are 2 x 2 x 37

Prime factors of 494 are 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 164, 938, 148, 494 is 2.

Given numbers are 164, 938, 148, 494

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

Apply this formula for all numbers.

Step1:

LCM(164, 938) = 76916

GCD(164, 938) = ( 164 x 938 ) / 76916

= 164 / 938

= 164

Step2:

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

= 2 / 148

= 2

Step3:

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

= 2 / 494

= 2

So, Greatest Common Divisor of 164, 938, 148, 494 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 676, 380, 680
• GCD of 188, 798, 842, 761
• GCD of 407, 451, 457, 761
• GCD of 855, 995, 804, 344
• GCD of 892, 115, 230, 499

Given numbers are 164, 938, 148, 494
The greatest common divisor of numbers 164, 938, 148, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 938, 148, 494 is 2.

1. What is the GCD of 164, 938, 148, 494?

GCD of given numbers 164, 938, 148, 494 is 2

2. How to calculate the greatest common divisor of 164, 938, 148, 494?

We can find the highest common divisor of 164, 938, 148, 494 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 164, 938, 148, 494 i.e 2.

3. How can I use the GCD of 164, 938, 148, 494Calculator?

Out the numbers 164, 938, 148, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.