GCD of 362, 260, 434, 422 Calculator

Given Input numbers are 362, 260, 434, 422

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

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (362, 260, 434, 422) = 2.

Given numbers are 362, 260, 434, 422

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 434 are 2 x 7 x 31

Prime factors of 422 are 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 362, 260, 434, 422 is 2.

Given numbers are 362, 260, 434, 422

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

Apply this formula for all numbers.

Step1:

LCM(362, 260) = 47060

GCD(362, 260) = ( 362 x 260 ) / 47060

= 362 / 260

= 362

Step2:

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

= 2 / 434

= 2

Step3:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

So, Greatest Common Divisor of 362, 260, 434, 422 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 952, 886, 569
• GCD of 780, 183, 263, 561
• GCD of 758, 902, 455, 571
• GCD of 808, 613, 498, 163
• GCD of 992, 636, 592, 120

Given numbers are 362, 260, 434, 422
The greatest common divisor of numbers 362, 260, 434, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 260, 434, 422 is 2.

1. What is the GCD of 362, 260, 434, 422?

GCD of given numbers 362, 260, 434, 422 is 2

2. How to calculate the greatest common divisor of 362, 260, 434, 422?

We can find the highest common divisor of 362, 260, 434, 422 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 362, 260, 434, 422 i.e 2.

3. How can I use the GCD of 362, 260, 434, 422Calculator?

Out the numbers 362, 260, 434, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.