GCD of 642, 960, 186, 348 Calculator

Given Input numbers are 642, 960, 186, 348

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 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 186 :

The positive integer divisors of 186 that completely divides 186 are.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (642, 960, 186, 348) = 6.

Given numbers are 642, 960, 186, 348

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 186 are 2 x 3 x 31

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 642, 960, 186, 348 is 6.

Given numbers are 642, 960, 186, 348

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

Apply this formula for all numbers.

Step1:

LCM(642, 960) = 102720

GCD(642, 960) = ( 642 x 960 ) / 102720

= 642 / 960

= 642

Step2:

LCM(6, 186) = 186

GCD(6, 186) = ( 6 x 186 ) / 186

= 6 / 186

= 6

Step3:

LCM(6, 348) = 348

GCD(6, 348) = ( 6 x 348 ) / 348

= 6 / 348

= 6

So, Greatest Common Divisor of 642, 960, 186, 348 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 697, 185, 843
• GCD of 169, 346, 669, 388
• GCD of 137, 370, 347, 573
• GCD of 691, 263, 730, 791
• GCD of 888, 908, 552, 678

Given numbers are 642, 960, 186, 348
The greatest common divisor of numbers 642, 960, 186, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 960, 186, 348 is 6.

1. What is the GCD of 642, 960, 186, 348?

GCD of given numbers 642, 960, 186, 348 is 6

2. How to calculate the greatest common divisor of 642, 960, 186, 348?

We can find the highest common divisor of 642, 960, 186, 348 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, 960, 186, 348 i.e 6.

3. How can I use the GCD of 642, 960, 186, 348Calculator?

Out the numbers 642, 960, 186, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.