GCD of 672, 309, 923, 741 Calculator

Given Input numbers are 672, 309, 923, 741

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 923 :

The positive integer divisors of 923 that completely divides 923 are.

1, 13, 71, 923

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

GCD of numbers is the greatest common divisor

So, the GCD (672, 309, 923, 741) = 1.

Given numbers are 672, 309, 923, 741

The list of prime factors of all numbers are

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 309 are 3 x 103

Prime factors of 923 are 13 x 71

Prime factors of 741 are 3 x 13 x 19

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

Given numbers are 672, 309, 923, 741

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

Apply this formula for all numbers.

Step1:

LCM(672, 309) = 69216

GCD(672, 309) = ( 672 x 309 ) / 69216

= 672 / 309

= 672

Step2:

LCM(3, 923) = 2769

GCD(3, 923) = ( 3 x 923 ) / 2769

= 3 / 923

= 3

Step3:

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

= 1 / 741

= 1

So, Greatest Common Divisor of 672, 309, 923, 741 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 135, 767, 315
• GCD of 107, 724, 526, 225
• GCD of 186, 439, 642, 356
• GCD of 718, 811, 303, 982
• GCD of 864, 568, 114, 714

Given numbers are 672, 309, 923, 741
The greatest common divisor of numbers 672, 309, 923, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 309, 923, 741 is 1.

1. What is the GCD of 672, 309, 923, 741?

GCD of given numbers 672, 309, 923, 741 is 1

2. How to calculate the greatest common divisor of 672, 309, 923, 741?

We can find the highest common divisor of 672, 309, 923, 741 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 672, 309, 923, 741 i.e 1.

3. How can I use the GCD of 672, 309, 923, 741Calculator?

Out the numbers 672, 309, 923, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.