GCD of 872, 759, 132, 960 Calculator

Given Input numbers are 872, 759, 132, 960

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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

GCD of numbers is the greatest common divisor

So, the GCD (872, 759, 132, 960) = 1.

Given numbers are 872, 759, 132, 960

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 759 are 3 x 11 x 23

Prime factors of 132 are 2 x 2 x 3 x 11

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

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

Given numbers are 872, 759, 132, 960

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

Apply this formula for all numbers.

Step1:

LCM(872, 759) = 661848

GCD(872, 759) = ( 872 x 759 ) / 661848

= 872 / 759

= 872

Step2:

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

= 1 / 132

= 1

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 872, 759, 132, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 510, 415, 451
• GCD of 963, 810, 212, 520
• GCD of 417, 858, 601, 977
• GCD of 253, 423, 244, 967
• GCD of 812, 503, 825, 796

Given numbers are 872, 759, 132, 960
The greatest common divisor of numbers 872, 759, 132, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 759, 132, 960 is 1.

1. What is the GCD of 872, 759, 132, 960?

GCD of given numbers 872, 759, 132, 960 is 1

2. How to calculate the greatest common divisor of 872, 759, 132, 960?

We can find the highest common divisor of 872, 759, 132, 960 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 872, 759, 132, 960 i.e 1.

3. How can I use the GCD of 872, 759, 132, 960Calculator?

Out the numbers 872, 759, 132, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.