GCD of 960, 596, 949, 412 Calculator

Given Input numbers are 960, 596, 949, 412

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

GCD of numbers is the greatest common divisor

So, the GCD (960, 596, 949, 412) = 1.

Given numbers are 960, 596, 949, 412

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 596 are 2 x 2 x 149

Prime factors of 949 are 13 x 73

Prime factors of 412 are 2 x 2 x 103

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

Given numbers are 960, 596, 949, 412

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

Apply this formula for all numbers.

Step1:

LCM(960, 596) = 143040

GCD(960, 596) = ( 960 x 596 ) / 143040

= 960 / 596

= 960

Step2:

LCM(4, 949) = 3796

GCD(4, 949) = ( 4 x 949 ) / 3796

= 4 / 949

= 4

Step3:

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

= 1 / 412

= 1

So, Greatest Common Divisor of 960, 596, 949, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 973, 565, 722, 958
• GCD of 696, 514, 991, 698
• GCD of 634, 589, 800, 329
• GCD of 986, 576, 566, 751
• GCD of 844, 335, 618, 150

Given numbers are 960, 596, 949, 412
The greatest common divisor of numbers 960, 596, 949, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 596, 949, 412 is 1.

1. What is the GCD of 960, 596, 949, 412?

GCD of given numbers 960, 596, 949, 412 is 1

2. How to calculate the greatest common divisor of 960, 596, 949, 412?

We can find the highest common divisor of 960, 596, 949, 412 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 960, 596, 949, 412 i.e 1.

3. How can I use the GCD of 960, 596, 949, 412Calculator?

Out the numbers 960, 596, 949, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.