GCD of 184, 920, 700, 496 Calculator

Given Input numbers are 184, 920, 700, 496

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

Divisors of 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184

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 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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 (184, 920, 700, 496) = 4.

Given numbers are 184, 920, 700, 496

The list of prime factors of all numbers are

Prime factors of 184 are 2 x 2 x 2 x 23

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

Prime factors of 700 are 2 x 2 x 5 x 5 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 184, 920, 700, 496 is 4.

Given numbers are 184, 920, 700, 496

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

Apply this formula for all numbers.

Step1:

LCM(184, 920) = 920

GCD(184, 920) = ( 184 x 920 ) / 920

= 184 / 920

= 184

Step2:

LCM(184, 700) = 32200

GCD(184, 700) = ( 184 x 700 ) / 32200

= 184 / 700

= 184

Step3:

LCM(4, 496) = 496

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

= 4 / 496

= 4

So, Greatest Common Divisor of 184, 920, 700, 496 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 317, 189, 253, 218
• GCD of 464, 811, 182, 465
• GCD of 530, 710, 318, 717
• GCD of 766, 478, 389, 441
• GCD of 763, 321, 820, 879

Given numbers are 184, 920, 700, 496
The greatest common divisor of numbers 184, 920, 700, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 184, 920, 700, 496 is 4.

1. What is the GCD of 184, 920, 700, 496?

GCD of given numbers 184, 920, 700, 496 is 4

2. How to calculate the greatest common divisor of 184, 920, 700, 496?

We can find the highest common divisor of 184, 920, 700, 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 184, 920, 700, 496 i.e 4.

3. How can I use the GCD of 184, 920, 700, 496Calculator?

Out the numbers 184, 920, 700, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.