GCD of 362, 190, 784, 920 Calculator

Given Input numbers are 362, 190, 784, 920

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 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (362, 190, 784, 920) = 2.

Given numbers are 362, 190, 784, 920

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 190 are 2 x 5 x 19

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 362, 190, 784, 920 is 2.

Given numbers are 362, 190, 784, 920

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

Apply this formula for all numbers.

Step1:

LCM(362, 190) = 34390

GCD(362, 190) = ( 362 x 190 ) / 34390

= 362 / 190

= 362

Step2:

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

= 2 / 784

= 2

Step3:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2

So, Greatest Common Divisor of 362, 190, 784, 920 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 230, 331, 705, 187
• GCD of 286, 576, 257, 865
• GCD of 973, 632, 265, 950
• GCD of 842, 534, 625, 177
• GCD of 774, 523, 796, 347

Given numbers are 362, 190, 784, 920
The greatest common divisor of numbers 362, 190, 784, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 190, 784, 920 is 2.

1. What is the GCD of 362, 190, 784, 920?

GCD of given numbers 362, 190, 784, 920 is 2

2. How to calculate the greatest common divisor of 362, 190, 784, 920?

We can find the highest common divisor of 362, 190, 784, 920 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, 190, 784, 920 i.e 2.

3. How can I use the GCD of 362, 190, 784, 920Calculator?

Out the numbers 362, 190, 784, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.