GCD of 360, 849, 493, 202 Calculator

Given Input numbers are 360, 849, 493, 202

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

GCD of numbers is the greatest common divisor

So, the GCD (360, 849, 493, 202) = 1.

Given numbers are 360, 849, 493, 202

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 849 are 3 x 283

Prime factors of 493 are 17 x 29

Prime factors of 202 are 2 x 101

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

Given numbers are 360, 849, 493, 202

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

Apply this formula for all numbers.

Step1:

LCM(360, 849) = 101880

GCD(360, 849) = ( 360 x 849 ) / 101880

= 360 / 849

= 360

Step2:

LCM(3, 493) = 1479

GCD(3, 493) = ( 3 x 493 ) / 1479

= 3 / 493

= 3

Step3:

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

= 1 / 202

= 1

So, Greatest Common Divisor of 360, 849, 493, 202 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 150, 294, 820
• GCD of 649, 126, 753, 793
• GCD of 948, 860, 826, 879
• GCD of 147, 721, 497, 531
• GCD of 499, 184, 156, 883

Given numbers are 360, 849, 493, 202
The greatest common divisor of numbers 360, 849, 493, 202 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 849, 493, 202 is 1.

1. What is the GCD of 360, 849, 493, 202?

GCD of given numbers 360, 849, 493, 202 is 1

2. How to calculate the greatest common divisor of 360, 849, 493, 202?

We can find the highest common divisor of 360, 849, 493, 202 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 360, 849, 493, 202 i.e 1.

3. How can I use the GCD of 360, 849, 493, 202Calculator?

Out the numbers 360, 849, 493, 202 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.