GCD of 361, 498, 689, 452 Calculator

Given Input numbers are 361, 498, 689, 452

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 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

GCD of numbers is the greatest common divisor

So, the GCD (361, 498, 689, 452) = 1.

Given numbers are 361, 498, 689, 452

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 498 are 2 x 3 x 83

Prime factors of 689 are 13 x 53

Prime factors of 452 are 2 x 2 x 113

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

Given numbers are 361, 498, 689, 452

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

Apply this formula for all numbers.

Step1:

LCM(361, 498) = 179778

GCD(361, 498) = ( 361 x 498 ) / 179778

= 361 / 498

= 361

Step2:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

Step3:

LCM(1, 452) = 452

GCD(1, 452) = ( 1 x 452 ) / 452

= 1 / 452

= 1

So, Greatest Common Divisor of 361, 498, 689, 452 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 674, 223, 459, 746
• GCD of 505, 409, 893, 322
• GCD of 755, 339, 148, 205
• GCD of 355, 447, 350, 747
• GCD of 800, 954, 617, 822

Given numbers are 361, 498, 689, 452
The greatest common divisor of numbers 361, 498, 689, 452 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 498, 689, 452 is 1.

1. What is the GCD of 361, 498, 689, 452?

GCD of given numbers 361, 498, 689, 452 is 1

2. How to calculate the greatest common divisor of 361, 498, 689, 452?

We can find the highest common divisor of 361, 498, 689, 452 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, 498, 689, 452 i.e 1.

3. How can I use the GCD of 361, 498, 689, 452Calculator?

Out the numbers 361, 498, 689, 452 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.