GCD of 938, 689, 936, 180 Calculator

Given Input numbers are 938, 689, 936, 180

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

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

GCD of numbers is the greatest common divisor

So, the GCD (938, 689, 936, 180) = 1.

Given numbers are 938, 689, 936, 180

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 689 are 13 x 53

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

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

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

Given numbers are 938, 689, 936, 180

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

Apply this formula for all numbers.

Step1:

LCM(938, 689) = 646282

GCD(938, 689) = ( 938 x 689 ) / 646282

= 938 / 689

= 938

Step2:

LCM(1, 936) = 936

GCD(1, 936) = ( 1 x 936 ) / 936

= 1 / 936

= 1

Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

So, Greatest Common Divisor of 938, 689, 936, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 603, 509, 166, 702
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Given numbers are 938, 689, 936, 180
The greatest common divisor of numbers 938, 689, 936, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 689, 936, 180 is 1.

1. What is the GCD of 938, 689, 936, 180?

GCD of given numbers 938, 689, 936, 180 is 1

2. How to calculate the greatest common divisor of 938, 689, 936, 180?

We can find the highest common divisor of 938, 689, 936, 180 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 938, 689, 936, 180 i.e 1.

3. How can I use the GCD of 938, 689, 936, 180Calculator?

Out the numbers 938, 689, 936, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.