GCD of 338, 498, 785, 689 Calculator

Given Input numbers are 338, 498, 785, 689

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 498 :

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

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

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

Divisors of 689 :

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

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (338, 498, 785, 689) = 1.

Given numbers are 338, 498, 785, 689

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 498 are 2 x 3 x 83

Prime factors of 785 are 5 x 157

Prime factors of 689 are 13 x 53

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

Given numbers are 338, 498, 785, 689

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

Apply this formula for all numbers.

Step1:

LCM(338, 498) = 84162

GCD(338, 498) = ( 338 x 498 ) / 84162

= 338 / 498

= 338

Step2:

LCM(2, 785) = 1570

GCD(2, 785) = ( 2 x 785 ) / 1570

= 2 / 785

= 2

Step3:

LCM(1, 689) = 689

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

= 1 / 689

= 1

So, Greatest Common Divisor of 338, 498, 785, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 782, 536, 778
• GCD of 448, 176, 820, 251
• GCD of 561, 986, 430, 923
• GCD of 967, 676, 998, 434
• GCD of 360, 548, 386, 448

Given numbers are 338, 498, 785, 689
The greatest common divisor of numbers 338, 498, 785, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 498, 785, 689 is 1.

1. What is the GCD of 338, 498, 785, 689?

GCD of given numbers 338, 498, 785, 689 is 1

2. How to calculate the greatest common divisor of 338, 498, 785, 689?

We can find the highest common divisor of 338, 498, 785, 689 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 338, 498, 785, 689 i.e 1.

3. How can I use the GCD of 338, 498, 785, 689Calculator?

Out the numbers 338, 498, 785, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.