GCD of 742, 309, 973 Calculator

Given Input numbers are 742, 309, 973

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

GCD of numbers is the greatest common divisor

So, the GCD (742, 309, 973) = 1.

Given numbers are 742, 309, 973

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 309 are 3 x 103

Prime factors of 973 are 7 x 139

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

Given numbers are 742, 309, 973

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

Apply this formula for all numbers.

Step1:

LCM(742, 309) = 229278

GCD(742, 309) = ( 742 x 309 ) / 229278

= 742 / 309

= 742

Step2:

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

= 1 / 973

= 1

So, Greatest Common Divisor of 742, 309, 973 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 329, 512
• GCD of 369, 741, 553
• GCD of 662, 795, 339
• GCD of 471, 266, 568
• GCD of 978, 764, 877

Given numbers are 742, 309, 973
The greatest common divisor of numbers 742, 309, 973 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 309, 973 is 1.

1. What is the GCD of 742, 309, 973?

GCD of given numbers 742, 309, 973 is 1

2. How to calculate the greatest common divisor of 742, 309, 973?

We can find the highest common divisor of 742, 309, 973 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 742, 309, 973 i.e 1.

3. How can I use the GCD of 742, 309, 973Calculator?

Out the numbers 742, 309, 973 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.