GCD of 488, 542, 583, 924 Calculator

Given Input numbers are 488, 542, 583, 924

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 583 :

The positive integer divisors of 583 that completely divides 583 are.

1, 11, 53, 583

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (488, 542, 583, 924) = 1.

Given numbers are 488, 542, 583, 924

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 542 are 2 x 271

Prime factors of 583 are 11 x 53

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

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

Given numbers are 488, 542, 583, 924

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

Apply this formula for all numbers.

Step1:

LCM(488, 542) = 132248

GCD(488, 542) = ( 488 x 542 ) / 132248

= 488 / 542

= 488

Step2:

LCM(2, 583) = 1166

GCD(2, 583) = ( 2 x 583 ) / 1166

= 2 / 583

= 2

Step3:

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

= 1 / 924

= 1

So, Greatest Common Divisor of 488, 542, 583, 924 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 841, 978, 702
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• GCD of 296, 958, 573, 113

Given numbers are 488, 542, 583, 924
The greatest common divisor of numbers 488, 542, 583, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 542, 583, 924 is 1.

1. What is the GCD of 488, 542, 583, 924?

GCD of given numbers 488, 542, 583, 924 is 1

2. How to calculate the greatest common divisor of 488, 542, 583, 924?

We can find the highest common divisor of 488, 542, 583, 924 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 488, 542, 583, 924 i.e 1.

3. How can I use the GCD of 488, 542, 583, 924Calculator?

Out the numbers 488, 542, 583, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.