GCD of 920, 366, 692, 456 Calculator

Given Input numbers are 920, 366, 692, 456

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

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

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

GCD of numbers is the greatest common divisor

So, the GCD (920, 366, 692, 456) = 2.

Given numbers are 920, 366, 692, 456

The list of prime factors of all numbers are

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

Prime factors of 366 are 2 x 3 x 61

Prime factors of 692 are 2 x 2 x 173

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 920, 366, 692, 456 is 2.

Given numbers are 920, 366, 692, 456

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

Apply this formula for all numbers.

Step1:

LCM(920, 366) = 168360

GCD(920, 366) = ( 920 x 366 ) / 168360

= 920 / 366

= 920

Step2:

LCM(2, 692) = 692

GCD(2, 692) = ( 2 x 692 ) / 692

= 2 / 692

= 2

Step3:

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

= 2 / 456

= 2

So, Greatest Common Divisor of 920, 366, 692, 456 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 150, 231, 963, 950
• GCD of 604, 819, 312, 656
• GCD of 302, 188, 852, 880
• GCD of 690, 894, 219, 253
• GCD of 272, 229, 569, 980

Given numbers are 920, 366, 692, 456
The greatest common divisor of numbers 920, 366, 692, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 366, 692, 456 is 2.

1. What is the GCD of 920, 366, 692, 456?

GCD of given numbers 920, 366, 692, 456 is 2

2. How to calculate the greatest common divisor of 920, 366, 692, 456?

We can find the highest common divisor of 920, 366, 692, 456 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 920, 366, 692, 456 i.e 2.

3. How can I use the GCD of 920, 366, 692, 456Calculator?

Out the numbers 920, 366, 692, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.