GCD of 174, 368, 389, 916 Calculator

Given Input numbers are 174, 368, 389, 916

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

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 389 :

The positive integer divisors of 389 that completely divides 389 are.

1, 389

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (174, 368, 389, 916) = 1.

Given numbers are 174, 368, 389, 916

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 389 are 389

Prime factors of 916 are 2 x 2 x 229

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

Given numbers are 174, 368, 389, 916

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

Apply this formula for all numbers.

Step1:

LCM(174, 368) = 32016

GCD(174, 368) = ( 174 x 368 ) / 32016

= 174 / 368

= 174

Step2:

LCM(2, 389) = 778

GCD(2, 389) = ( 2 x 389 ) / 778

= 2 / 389

= 2

Step3:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

So, Greatest Common Divisor of 174, 368, 389, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 789, 118, 625, 659
• GCD of 756, 341, 403, 776
• GCD of 159, 271, 809, 956
• GCD of 740, 634, 950, 783
• GCD of 442, 533, 572, 349

Given numbers are 174, 368, 389, 916
The greatest common divisor of numbers 174, 368, 389, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 368, 389, 916 is 1.

1. What is the GCD of 174, 368, 389, 916?

GCD of given numbers 174, 368, 389, 916 is 1

2. How to calculate the greatest common divisor of 174, 368, 389, 916?

We can find the highest common divisor of 174, 368, 389, 916 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 174, 368, 389, 916 i.e 1.

3. How can I use the GCD of 174, 368, 389, 916Calculator?

Out the numbers 174, 368, 389, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.