GCD of 680, 998, 405, 746 Calculator

Given Input numbers are 680, 998, 405, 746

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (680, 998, 405, 746) = 1.

Given numbers are 680, 998, 405, 746

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 998 are 2 x 499

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 746 are 2 x 373

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

Given numbers are 680, 998, 405, 746

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

Apply this formula for all numbers.

Step1:

LCM(680, 998) = 339320

GCD(680, 998) = ( 680 x 998 ) / 339320

= 680 / 998

= 680

Step2:

LCM(2, 405) = 810

GCD(2, 405) = ( 2 x 405 ) / 810

= 2 / 405

= 2

Step3:

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

= 1 / 746

= 1

So, Greatest Common Divisor of 680, 998, 405, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 986, 415, 331
• GCD of 998, 234, 966, 386
• GCD of 649, 422, 358, 429
• GCD of 423, 891, 959, 942
• GCD of 711, 114, 380, 220

Given numbers are 680, 998, 405, 746
The greatest common divisor of numbers 680, 998, 405, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 998, 405, 746 is 1.

1. What is the GCD of 680, 998, 405, 746?

GCD of given numbers 680, 998, 405, 746 is 1

2. How to calculate the greatest common divisor of 680, 998, 405, 746?

We can find the highest common divisor of 680, 998, 405, 746 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 680, 998, 405, 746 i.e 1.

3. How can I use the GCD of 680, 998, 405, 746Calculator?

Out the numbers 680, 998, 405, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.