GCD of 493, 698, 365, 165 Calculator

Given Input numbers are 493, 698, 365, 165

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

Divisors of 493 :

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

1, 17, 29, 493

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

GCD of numbers is the greatest common divisor

So, the GCD (493, 698, 365, 165) = 1.

Given numbers are 493, 698, 365, 165

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 698 are 2 x 349

Prime factors of 365 are 5 x 73

Prime factors of 165 are 3 x 5 x 11

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

Given numbers are 493, 698, 365, 165

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

Apply this formula for all numbers.

Step1:

LCM(493, 698) = 344114

GCD(493, 698) = ( 493 x 698 ) / 344114

= 493 / 698

= 493

Step2:

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

= 1 / 365

= 1

Step3:

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

= 1 / 165

= 1

So, Greatest Common Divisor of 493, 698, 365, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 210, 148, 191, 210
• GCD of 702, 486, 722, 518
• GCD of 315, 725, 606, 917
• GCD of 931, 600, 768, 315
• GCD of 308, 396, 939, 574

Given numbers are 493, 698, 365, 165
The greatest common divisor of numbers 493, 698, 365, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 698, 365, 165 is 1.

1. What is the GCD of 493, 698, 365, 165?

GCD of given numbers 493, 698, 365, 165 is 1

2. How to calculate the greatest common divisor of 493, 698, 365, 165?

We can find the highest common divisor of 493, 698, 365, 165 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 493, 698, 365, 165 i.e 1.

3. How can I use the GCD of 493, 698, 365, 165Calculator?

Out the numbers 493, 698, 365, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.