GCD of 608, 349, 972, 744 Calculator

Given Input numbers are 608, 349, 972, 744

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

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

GCD of numbers is the greatest common divisor

So, the GCD (608, 349, 972, 744) = 1.

Given numbers are 608, 349, 972, 744

The list of prime factors of all numbers are

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 349 are 349

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

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

Given numbers are 608, 349, 972, 744

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

Apply this formula for all numbers.

Step1:

LCM(608, 349) = 212192

GCD(608, 349) = ( 608 x 349 ) / 212192

= 608 / 349

= 608

Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

Step3:

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

= 1 / 744

= 1

So, Greatest Common Divisor of 608, 349, 972, 744 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 980, 236, 733, 348
• GCD of 154, 358, 317, 985
• GCD of 399, 116, 820, 257
• GCD of 201, 554, 661, 259
• GCD of 300, 638, 112, 674

Given numbers are 608, 349, 972, 744
The greatest common divisor of numbers 608, 349, 972, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 608, 349, 972, 744 is 1.

1. What is the GCD of 608, 349, 972, 744?

GCD of given numbers 608, 349, 972, 744 is 1

2. How to calculate the greatest common divisor of 608, 349, 972, 744?

We can find the highest common divisor of 608, 349, 972, 744 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 608, 349, 972, 744 i.e 1.

3. How can I use the GCD of 608, 349, 972, 744Calculator?

Out the numbers 608, 349, 972, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.