GCD of 361, 489, 285, 760 Calculator

Given Input numbers are 361, 489, 285, 760

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 489 :

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

1, 3, 163, 489

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

GCD of numbers is the greatest common divisor

So, the GCD (361, 489, 285, 760) = 1.

Given numbers are 361, 489, 285, 760

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 489 are 3 x 163

Prime factors of 285 are 3 x 5 x 19

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

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

Given numbers are 361, 489, 285, 760

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

Apply this formula for all numbers.

Step1:

LCM(361, 489) = 176529

GCD(361, 489) = ( 361 x 489 ) / 176529

= 361 / 489

= 361

Step2:

LCM(1, 285) = 285

GCD(1, 285) = ( 1 x 285 ) / 285

= 1 / 285

= 1

Step3:

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

= 1 / 760

= 1

So, Greatest Common Divisor of 361, 489, 285, 760 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 404, 474, 539
• GCD of 812, 621, 452, 881
• GCD of 321, 801, 595, 985
• GCD of 697, 784, 321, 753
• GCD of 606, 327, 643, 940

Given numbers are 361, 489, 285, 760
The greatest common divisor of numbers 361, 489, 285, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 489, 285, 760 is 1.

1. What is the GCD of 361, 489, 285, 760?

GCD of given numbers 361, 489, 285, 760 is 1

2. How to calculate the greatest common divisor of 361, 489, 285, 760?

We can find the highest common divisor of 361, 489, 285, 760 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 361, 489, 285, 760 i.e 1.

3. How can I use the GCD of 361, 489, 285, 760Calculator?

Out the numbers 361, 489, 285, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.