GCD of 296, 612, 972, 609 Calculator

Given Input numbers are 296, 612, 972, 609

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

GCD of numbers is the greatest common divisor

So, the GCD (296, 612, 972, 609) = 1.

Given numbers are 296, 612, 972, 609

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

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

Prime factors of 609 are 3 x 7 x 29

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

Given numbers are 296, 612, 972, 609

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

Apply this formula for all numbers.

Step1:

LCM(296, 612) = 45288

GCD(296, 612) = ( 296 x 612 ) / 45288

= 296 / 612

= 296

Step2:

LCM(4, 972) = 972

GCD(4, 972) = ( 4 x 972 ) / 972

= 4 / 972

= 4

Step3:

LCM(4, 609) = 2436

GCD(4, 609) = ( 4 x 609 ) / 2436

= 4 / 609

= 4

So, Greatest Common Divisor of 296, 612, 972, 609 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 968, 896, 695, 952
• GCD of 157, 218, 469, 986
• GCD of 697, 815, 831, 192
• GCD of 299, 214, 131, 418
• GCD of 634, 701, 753, 302

Given numbers are 296, 612, 972, 609
The greatest common divisor of numbers 296, 612, 972, 609 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 612, 972, 609 is 1.

1. What is the GCD of 296, 612, 972, 609?

GCD of given numbers 296, 612, 972, 609 is 1

2. How to calculate the greatest common divisor of 296, 612, 972, 609?

We can find the highest common divisor of 296, 612, 972, 609 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 296, 612, 972, 609 i.e 1.

3. How can I use the GCD of 296, 612, 972, 609Calculator?

Out the numbers 296, 612, 972, 609 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.