GCD of 338, 363, 658, 730 Calculator

Given Input numbers are 338, 363, 658, 730

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 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

GCD of numbers is the greatest common divisor

So, the GCD (338, 363, 658, 730) = 1.

Given numbers are 338, 363, 658, 730

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 363 are 3 x 11 x 11

Prime factors of 658 are 2 x 7 x 47

Prime factors of 730 are 2 x 5 x 73

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

Given numbers are 338, 363, 658, 730

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

Apply this formula for all numbers.

Step1:

LCM(338, 363) = 122694

GCD(338, 363) = ( 338 x 363 ) / 122694

= 338 / 363

= 338

Step2:

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

= 1 / 658

= 1

Step3:

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

= 1 / 730

= 1

So, Greatest Common Divisor of 338, 363, 658, 730 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 832, 103, 187, 462
• GCD of 746, 988, 607, 966
• GCD of 599, 326, 388, 219
• GCD of 802, 169, 951, 545
• GCD of 752, 928, 633, 893

Given numbers are 338, 363, 658, 730
The greatest common divisor of numbers 338, 363, 658, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 363, 658, 730 is 1.

1. What is the GCD of 338, 363, 658, 730?

GCD of given numbers 338, 363, 658, 730 is 1

2. How to calculate the greatest common divisor of 338, 363, 658, 730?

We can find the highest common divisor of 338, 363, 658, 730 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, 363, 658, 730 i.e 1.

3. How can I use the GCD of 338, 363, 658, 730Calculator?

Out the numbers 338, 363, 658, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.