GCD of 489, 654, 688, 921 Calculator

Given Input numbers are 489, 654, 688, 921

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

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

GCD of numbers is the greatest common divisor

So, the GCD (489, 654, 688, 921) = 1.

Given numbers are 489, 654, 688, 921

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 654 are 2 x 3 x 109

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 921 are 3 x 307

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

Given numbers are 489, 654, 688, 921

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

Apply this formula for all numbers.

Step1:

LCM(489, 654) = 106602

GCD(489, 654) = ( 489 x 654 ) / 106602

= 489 / 654

= 489

Step2:

LCM(3, 688) = 2064

GCD(3, 688) = ( 3 x 688 ) / 2064

= 3 / 688

= 3

Step3:

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

= 1 / 921

= 1

So, Greatest Common Divisor of 489, 654, 688, 921 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 535, 723, 534
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• GCD of 933, 737, 325, 363

Given numbers are 489, 654, 688, 921
The greatest common divisor of numbers 489, 654, 688, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 654, 688, 921 is 1.

1. What is the GCD of 489, 654, 688, 921?

GCD of given numbers 489, 654, 688, 921 is 1

2. How to calculate the greatest common divisor of 489, 654, 688, 921?

We can find the highest common divisor of 489, 654, 688, 921 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 489, 654, 688, 921 i.e 1.

3. How can I use the GCD of 489, 654, 688, 921Calculator?

Out the numbers 489, 654, 688, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.