GCD of 174, 556, 738, 697 Calculator

Given Input numbers are 174, 556, 738, 697

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 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

GCD of numbers is the greatest common divisor

So, the GCD (174, 556, 738, 697) = 1.

Given numbers are 174, 556, 738, 697

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 556 are 2 x 2 x 139

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 697 are 17 x 41

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

Given numbers are 174, 556, 738, 697

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

Apply this formula for all numbers.

Step1:

LCM(174, 556) = 48372

GCD(174, 556) = ( 174 x 556 ) / 48372

= 174 / 556

= 174

Step2:

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

= 2 / 738

= 2

Step3:

LCM(2, 697) = 1394

GCD(2, 697) = ( 2 x 697 ) / 1394

= 2 / 697

= 2

So, Greatest Common Divisor of 174, 556, 738, 697 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 460, 769, 493
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Given numbers are 174, 556, 738, 697
The greatest common divisor of numbers 174, 556, 738, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 556, 738, 697 is 1.

1. What is the GCD of 174, 556, 738, 697?

GCD of given numbers 174, 556, 738, 697 is 1

2. How to calculate the greatest common divisor of 174, 556, 738, 697?

We can find the highest common divisor of 174, 556, 738, 697 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, 556, 738, 697 i.e 1.

3. How can I use the GCD of 174, 556, 738, 697Calculator?

Out the numbers 174, 556, 738, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.