GCD of 338, 758, 138, 523 Calculator

Given Input numbers are 338, 758, 138, 523

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 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

GCD of numbers is the greatest common divisor

So, the GCD (338, 758, 138, 523) = 1.

Given numbers are 338, 758, 138, 523

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 758 are 2 x 379

Prime factors of 138 are 2 x 3 x 23

Prime factors of 523 are 523

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

Given numbers are 338, 758, 138, 523

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

Apply this formula for all numbers.

Step1:

LCM(338, 758) = 128102

GCD(338, 758) = ( 338 x 758 ) / 128102

= 338 / 758

= 338

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 523) = 1046

GCD(2, 523) = ( 2 x 523 ) / 1046

= 2 / 523

= 2

So, Greatest Common Divisor of 338, 758, 138, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 209, 773, 893
• GCD of 360, 839, 581, 455
• GCD of 482, 846, 146, 808
• GCD of 110, 124, 290, 436
• GCD of 979, 645, 958, 692

Given numbers are 338, 758, 138, 523
The greatest common divisor of numbers 338, 758, 138, 523 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 758, 138, 523 is 1.

1. What is the GCD of 338, 758, 138, 523?

GCD of given numbers 338, 758, 138, 523 is 1

2. How to calculate the greatest common divisor of 338, 758, 138, 523?

We can find the highest common divisor of 338, 758, 138, 523 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, 758, 138, 523 i.e 1.

3. How can I use the GCD of 338, 758, 138, 523Calculator?

Out the numbers 338, 758, 138, 523 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.