GCD of 928, 696, 180, 820 Calculator

Given Input numbers are 928, 696, 180, 820

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

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (928, 696, 180, 820) = 4.

Given numbers are 928, 696, 180, 820

The list of prime factors of all numbers are

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 2²

Therefore, GCD of 928, 696, 180, 820 is 4.

Given numbers are 928, 696, 180, 820

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

Apply this formula for all numbers.

Step1:

LCM(928, 696) = 2784

GCD(928, 696) = ( 928 x 696 ) / 2784

= 928 / 696

= 928

Step2:

LCM(232, 180) = 10440

GCD(232, 180) = ( 232 x 180 ) / 10440

= 232 / 180

= 232

Step3:

LCM(4, 820) = 820

GCD(4, 820) = ( 4 x 820 ) / 820

= 4 / 820

= 4

So, Greatest Common Divisor of 928, 696, 180, 820 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 984, 414, 428, 500
• GCD of 219, 656, 628, 944
• GCD of 632, 745, 329, 218
• GCD of 762, 145, 407, 695
• GCD of 703, 991, 269, 927

Given numbers are 928, 696, 180, 820
The greatest common divisor of numbers 928, 696, 180, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 928, 696, 180, 820 is 4.

1. What is the GCD of 928, 696, 180, 820?

GCD of given numbers 928, 696, 180, 820 is 4

2. How to calculate the greatest common divisor of 928, 696, 180, 820?

We can find the highest common divisor of 928, 696, 180, 820 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 928, 696, 180, 820 i.e 4.

3. How can I use the GCD of 928, 696, 180, 820Calculator?

Out the numbers 928, 696, 180, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.