GCD of 489, 651, 90, 614 Calculator

Given Input numbers are 489, 651, 90, 614

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 651 :

The positive integer divisors of 651 that completely divides 651 are.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

GCD of numbers is the greatest common divisor

So, the GCD (489, 651, 90, 614) = 1.

Given numbers are 489, 651, 90, 614

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 651 are 3 x 7 x 31

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 614 are 2 x 307

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

Given numbers are 489, 651, 90, 614

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

Apply this formula for all numbers.

Step1:

LCM(489, 651) = 106113

GCD(489, 651) = ( 489 x 651 ) / 106113

= 489 / 651

= 489

Step2:

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

= 3 / 90

= 3

Step3:

LCM(3, 614) = 1842

GCD(3, 614) = ( 3 x 614 ) / 1842

= 3 / 614

= 3

So, Greatest Common Divisor of 489, 651, 90, 614 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 156, 60, 262
• GCD of 828, 658, 45, 254
• GCD of 651, 902, 16, 386
• GCD of 718, 567, 95, 907
• GCD of 863, 291, 52, 444

Given numbers are 489, 651, 90, 614
The greatest common divisor of numbers 489, 651, 90, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 651, 90, 614 is 1.

1. What is the GCD of 489, 651, 90, 614?

GCD of given numbers 489, 651, 90, 614 is 1

2. How to calculate the greatest common divisor of 489, 651, 90, 614?

We can find the highest common divisor of 489, 651, 90, 614 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, 651, 90, 614 i.e 1.

3. How can I use the GCD of 489, 651, 90, 614Calculator?

Out the numbers 489, 651, 90, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.