GCD of 928, 523, 408, 972 Calculator

Given Input numbers are 928, 523, 408, 972

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 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (928, 523, 408, 972) = 1.

Given numbers are 928, 523, 408, 972

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 523 are 523

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 928, 523, 408, 972

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

Apply this formula for all numbers.

Step1:

LCM(928, 523) = 485344

GCD(928, 523) = ( 928 x 523 ) / 485344

= 928 / 523

= 928

Step2:

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

= 1 / 408

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 928, 523, 408, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 786, 651, 421
• GCD of 926, 788, 166, 757
• GCD of 751, 868, 474, 123
• GCD of 561, 630, 703, 549
• GCD of 270, 369, 185, 451

Given numbers are 928, 523, 408, 972
The greatest common divisor of numbers 928, 523, 408, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 928, 523, 408, 972 is 1.

1. What is the GCD of 928, 523, 408, 972?

GCD of given numbers 928, 523, 408, 972 is 1

2. How to calculate the greatest common divisor of 928, 523, 408, 972?

We can find the highest common divisor of 928, 523, 408, 972 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, 523, 408, 972 i.e 1.

3. How can I use the GCD of 928, 523, 408, 972Calculator?

Out the numbers 928, 523, 408, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.