GCD of 523, 554, 732, 998 Calculator

Given Input numbers are 523, 554, 732, 998

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

Divisors of 523 :

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

1, 523

Divisors of 554 :

The positive integer divisors of 554 that completely divides 554 are.

1, 2, 277, 554

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (523, 554, 732, 998) = 1.

Given numbers are 523, 554, 732, 998

The list of prime factors of all numbers are

Prime factors of 523 are 523

Prime factors of 554 are 2 x 277

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 998 are 2 x 499

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

Given numbers are 523, 554, 732, 998

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

Apply this formula for all numbers.

Step1:

LCM(523, 554) = 289742

GCD(523, 554) = ( 523 x 554 ) / 289742

= 523 / 554

= 523

Step2:

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

= 1 / 732

= 1

Step3:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1

So, Greatest Common Divisor of 523, 554, 732, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 147, 138, 764
• GCD of 735, 467, 534, 344
• GCD of 429, 638, 594, 533
• GCD of 354, 380, 676, 467
• GCD of 314, 546, 407, 165

Given numbers are 523, 554, 732, 998
The greatest common divisor of numbers 523, 554, 732, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 523, 554, 732, 998 is 1.

1. What is the GCD of 523, 554, 732, 998?

GCD of given numbers 523, 554, 732, 998 is 1

2. How to calculate the greatest common divisor of 523, 554, 732, 998?

We can find the highest common divisor of 523, 554, 732, 998 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 523, 554, 732, 998 i.e 1.

3. How can I use the GCD of 523, 554, 732, 998Calculator?

Out the numbers 523, 554, 732, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.