GCD of 338, 748, 40, 605 Calculator

Given Input numbers are 338, 748, 40, 605

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 40 :

The positive integer divisors of 40 that completely divides 40 are.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 605 :

The positive integer divisors of 605 that completely divides 605 are.

1, 5, 11, 55, 121, 605

GCD of numbers is the greatest common divisor

So, the GCD (338, 748, 40, 605) = 1.

Given numbers are 338, 748, 40, 605

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 40 are 2 x 2 x 2 x 5

Prime factors of 605 are 5 x 11 x 11

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

Given numbers are 338, 748, 40, 605

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

Apply this formula for all numbers.

Step1:

LCM(338, 748) = 126412

GCD(338, 748) = ( 338 x 748 ) / 126412

= 338 / 748

= 338

Step2:

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

= 2 / 40

= 2

Step3:

LCM(2, 605) = 1210

GCD(2, 605) = ( 2 x 605 ) / 1210

= 2 / 605

= 2

So, Greatest Common Divisor of 338, 748, 40, 605 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 889, 62, 394
• GCD of 588, 836, 72, 820
• GCD of 266, 137, 92, 508
• GCD of 323, 759, 68, 134
• GCD of 746, 929, 35, 581

Given numbers are 338, 748, 40, 605
The greatest common divisor of numbers 338, 748, 40, 605 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 748, 40, 605 is 1.

1. What is the GCD of 338, 748, 40, 605?

GCD of given numbers 338, 748, 40, 605 is 1

2. How to calculate the greatest common divisor of 338, 748, 40, 605?

We can find the highest common divisor of 338, 748, 40, 605 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, 748, 40, 605 i.e 1.

3. How can I use the GCD of 338, 748, 40, 605Calculator?

Out the numbers 338, 748, 40, 605 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.