GCD of 960, 672, 409, 869 Calculator

Given Input numbers are 960, 672, 409, 869

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 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 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 869 :

The positive integer divisors of 869 that completely divides 869 are.

1, 11, 79, 869

GCD of numbers is the greatest common divisor

So, the GCD (960, 672, 409, 869) = 1.

Given numbers are 960, 672, 409, 869

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 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 409 are 409

Prime factors of 869 are 11 x 79

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

Given numbers are 960, 672, 409, 869

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

Apply this formula for all numbers.

Step1:

LCM(960, 672) = 6720

GCD(960, 672) = ( 960 x 672 ) / 6720

= 960 / 672

= 960

Step2:

LCM(96, 409) = 39264

GCD(96, 409) = ( 96 x 409 ) / 39264

= 96 / 409

= 96

Step3:

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

= 1 / 869

= 1

So, Greatest Common Divisor of 960, 672, 409, 869 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 836, 545, 301
• GCD of 794, 713, 826, 605
• GCD of 261, 835, 275, 261
• GCD of 881, 342, 259, 496
• GCD of 953, 471, 365, 445

Given numbers are 960, 672, 409, 869
The greatest common divisor of numbers 960, 672, 409, 869 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 672, 409, 869 is 1.

1. What is the GCD of 960, 672, 409, 869?

GCD of given numbers 960, 672, 409, 869 is 1

2. How to calculate the greatest common divisor of 960, 672, 409, 869?

We can find the highest common divisor of 960, 672, 409, 869 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, 672, 409, 869 i.e 1.

3. How can I use the GCD of 960, 672, 409, 869Calculator?

Out the numbers 960, 672, 409, 869 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.