GCD of 493, 974, 146, 696 Calculator

Given Input numbers are 493, 974, 146, 696

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 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

GCD of numbers is the greatest common divisor

So, the GCD (493, 974, 146, 696) = 1.

Given numbers are 493, 974, 146, 696

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 974 are 2 x 487

Prime factors of 146 are 2 x 73

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

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

Given numbers are 493, 974, 146, 696

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

Apply this formula for all numbers.

Step1:

LCM(493, 974) = 480182

GCD(493, 974) = ( 493 x 974 ) / 480182

= 493 / 974

= 493

Step2:

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

= 1 / 146

= 1

Step3:

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

= 1 / 696

= 1

So, Greatest Common Divisor of 493, 974, 146, 696 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 719, 835, 622, 503
• GCD of 509, 443, 342, 351
• GCD of 978, 179, 114, 172
• GCD of 582, 983, 569, 912
• GCD of 298, 610, 620, 640

Given numbers are 493, 974, 146, 696
The greatest common divisor of numbers 493, 974, 146, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 974, 146, 696 is 1.

1. What is the GCD of 493, 974, 146, 696?

GCD of given numbers 493, 974, 146, 696 is 1

2. How to calculate the greatest common divisor of 493, 974, 146, 696?

We can find the highest common divisor of 493, 974, 146, 696 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, 974, 146, 696 i.e 1.

3. How can I use the GCD of 493, 974, 146, 696Calculator?

Out the numbers 493, 974, 146, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.