GCD of 489, 742, 802, 193 Calculator

Given Input numbers are 489, 742, 802, 193

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 193 :

The positive integer divisors of 193 that completely divides 193 are.

1, 193

GCD of numbers is the greatest common divisor

So, the GCD (489, 742, 802, 193) = 1.

Given numbers are 489, 742, 802, 193

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 742 are 2 x 7 x 53

Prime factors of 802 are 2 x 401

Prime factors of 193 are 193

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

Given numbers are 489, 742, 802, 193

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

Apply this formula for all numbers.

Step1:

LCM(489, 742) = 362838

GCD(489, 742) = ( 489 x 742 ) / 362838

= 489 / 742

= 489

Step2:

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

= 1 / 802

= 1

Step3:

LCM(1, 193) = 193

GCD(1, 193) = ( 1 x 193 ) / 193

= 1 / 193

= 1

So, Greatest Common Divisor of 489, 742, 802, 193 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 156, 792, 172
• GCD of 270, 758, 958, 884
• GCD of 808, 701, 192, 431
• GCD of 881, 429, 192, 631
• GCD of 589, 257, 805, 402

Given numbers are 489, 742, 802, 193
The greatest common divisor of numbers 489, 742, 802, 193 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 742, 802, 193 is 1.

1. What is the GCD of 489, 742, 802, 193?

GCD of given numbers 489, 742, 802, 193 is 1

2. How to calculate the greatest common divisor of 489, 742, 802, 193?

We can find the highest common divisor of 489, 742, 802, 193 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, 742, 802, 193 i.e 1.

3. How can I use the GCD of 489, 742, 802, 193Calculator?

Out the numbers 489, 742, 802, 193 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.