GCD of 642, 264, 164, 474 Calculator

Given Input numbers are 642, 264, 164, 474

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

GCD of numbers is the greatest common divisor

So, the GCD (642, 264, 164, 474) = 2.

Given numbers are 642, 264, 164, 474

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 164 are 2 x 2 x 41

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 2¹

Therefore, GCD of 642, 264, 164, 474 is 2.

Given numbers are 642, 264, 164, 474

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

Apply this formula for all numbers.

Step1:

LCM(642, 264) = 28248

GCD(642, 264) = ( 642 x 264 ) / 28248

= 642 / 264

= 642

Step2:

LCM(6, 164) = 492

GCD(6, 164) = ( 6 x 164 ) / 492

= 6 / 164

= 6

Step3:

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

= 2 / 474

= 2

So, Greatest Common Divisor of 642, 264, 164, 474 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 155, 706, 475
• GCD of 144, 590, 995, 988
• GCD of 945, 352, 207, 524
• GCD of 796, 766, 190, 204
• GCD of 282, 580, 413, 628

Given numbers are 642, 264, 164, 474
The greatest common divisor of numbers 642, 264, 164, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 264, 164, 474 is 2.

1. What is the GCD of 642, 264, 164, 474?

GCD of given numbers 642, 264, 164, 474 is 2

2. How to calculate the greatest common divisor of 642, 264, 164, 474?

We can find the highest common divisor of 642, 264, 164, 474 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 642, 264, 164, 474 i.e 2.

3. How can I use the GCD of 642, 264, 164, 474Calculator?

Out the numbers 642, 264, 164, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.