GCD of 180, 691, 705, 338 Calculator

Given Input numbers are 180, 691, 705, 338

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (180, 691, 705, 338) = 1.

Given numbers are 180, 691, 705, 338

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 691 are 691

Prime factors of 705 are 3 x 5 x 47

Prime factors of 338 are 2 x 13 x 13

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

Given numbers are 180, 691, 705, 338

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

Apply this formula for all numbers.

Step1:

LCM(180, 691) = 124380

GCD(180, 691) = ( 180 x 691 ) / 124380

= 180 / 691

= 180

Step2:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

Step3:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1

So, Greatest Common Divisor of 180, 691, 705, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 174, 772, 620
• GCD of 923, 670, 752, 968
• GCD of 645, 789, 521, 539
• GCD of 825, 741, 968, 955
• GCD of 432, 354, 983, 827

Given numbers are 180, 691, 705, 338
The greatest common divisor of numbers 180, 691, 705, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 691, 705, 338 is 1.

1. What is the GCD of 180, 691, 705, 338?

GCD of given numbers 180, 691, 705, 338 is 1

2. How to calculate the greatest common divisor of 180, 691, 705, 338?

We can find the highest common divisor of 180, 691, 705, 338 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 180, 691, 705, 338 i.e 1.

3. How can I use the GCD of 180, 691, 705, 338Calculator?

Out the numbers 180, 691, 705, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.