GCD of 108, 138, 731, 362 Calculator

Given Input numbers are 108, 138, 731, 362

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 138 :

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

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

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (108, 138, 731, 362) = 1.

Given numbers are 108, 138, 731, 362

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 138 are 2 x 3 x 23

Prime factors of 731 are 17 x 43

Prime factors of 362 are 2 x 181

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

Given numbers are 108, 138, 731, 362

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

Apply this formula for all numbers.

Step1:

LCM(108, 138) = 2484

GCD(108, 138) = ( 108 x 138 ) / 2484

= 108 / 138

= 108

Step2:

LCM(6, 731) = 4386

GCD(6, 731) = ( 6 x 731 ) / 4386

= 6 / 731

= 6

Step3:

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

= 1 / 362

= 1

So, Greatest Common Divisor of 108, 138, 731, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 283, 385, 791, 666
• GCD of 260, 878, 116, 264
• GCD of 533, 576, 951, 461
• GCD of 976, 723, 369, 876
• GCD of 855, 603, 590, 781

Given numbers are 108, 138, 731, 362
The greatest common divisor of numbers 108, 138, 731, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 138, 731, 362 is 1.

1. What is the GCD of 108, 138, 731, 362?

GCD of given numbers 108, 138, 731, 362 is 1

2. How to calculate the greatest common divisor of 108, 138, 731, 362?

We can find the highest common divisor of 108, 138, 731, 362 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 108, 138, 731, 362 i.e 1.

3. How can I use the GCD of 108, 138, 731, 362Calculator?

Out the numbers 108, 138, 731, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.