GCD of 920, 168, 578, 720 Calculator

Given Input numbers are 920, 168, 578, 720

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 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (920, 168, 578, 720) = 2.

Given numbers are 920, 168, 578, 720

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 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 578 are 2 x 17 x 17

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 920, 168, 578, 720 is 2.

Given numbers are 920, 168, 578, 720

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

Apply this formula for all numbers.

Step1:

LCM(920, 168) = 19320

GCD(920, 168) = ( 920 x 168 ) / 19320

= 920 / 168

= 920

Step2:

LCM(8, 578) = 2312

GCD(8, 578) = ( 8 x 578 ) / 2312

= 8 / 578

= 8

Step3:

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

= 2 / 720

= 2

So, Greatest Common Divisor of 920, 168, 578, 720 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 880, 805, 304, 322
• GCD of 325, 346, 753, 671
• GCD of 447, 808, 842, 950
• GCD of 886, 793, 253, 406
• GCD of 635, 684, 993, 117

Given numbers are 920, 168, 578, 720
The greatest common divisor of numbers 920, 168, 578, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 168, 578, 720 is 2.

1. What is the GCD of 920, 168, 578, 720?

GCD of given numbers 920, 168, 578, 720 is 2

2. How to calculate the greatest common divisor of 920, 168, 578, 720?

We can find the highest common divisor of 920, 168, 578, 720 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, 168, 578, 720 i.e 2.

3. How can I use the GCD of 920, 168, 578, 720Calculator?

Out the numbers 920, 168, 578, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.