GCD of 164, 920, 56, 496 Calculator

Given Input numbers are 164, 920, 56, 496

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

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

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 56 :

The positive integer divisors of 56 that completely divides 56 are.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

GCD of numbers is the greatest common divisor

So, the GCD (164, 920, 56, 496) = 4.

Given numbers are 164, 920, 56, 496

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

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

Prime factors of 56 are 2 x 2 x 2 x 7

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2²

Therefore, GCD of 164, 920, 56, 496 is 4.

Given numbers are 164, 920, 56, 496

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

Apply this formula for all numbers.

Step1:

LCM(164, 920) = 37720

GCD(164, 920) = ( 164 x 920 ) / 37720

= 164 / 920

= 164

Step2:

LCM(4, 56) = 56

GCD(4, 56) = ( 4 x 56 ) / 56

= 4 / 56

= 4

Step3:

LCM(4, 496) = 496

GCD(4, 496) = ( 4 x 496 ) / 496

= 4 / 496

= 4

So, Greatest Common Divisor of 164, 920, 56, 496 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 742, 58, 509
• GCD of 844, 226, 60, 115
• GCD of 849, 307, 12, 106
• GCD of 105, 766, 71, 846
• GCD of 142, 581, 91, 445

Given numbers are 164, 920, 56, 496
The greatest common divisor of numbers 164, 920, 56, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 920, 56, 496 is 4.

1. What is the GCD of 164, 920, 56, 496?

GCD of given numbers 164, 920, 56, 496 is 4

2. How to calculate the greatest common divisor of 164, 920, 56, 496?

We can find the highest common divisor of 164, 920, 56, 496 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 164, 920, 56, 496 i.e 4.

3. How can I use the GCD of 164, 920, 56, 496Calculator?

Out the numbers 164, 920, 56, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.