GCD of 960, 807, 996, 180 Calculator

Given Input numbers are 960, 807, 996, 180

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 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (960, 807, 996, 180) = 3.

Given numbers are 960, 807, 996, 180

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 807 are 3 x 269

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 960, 807, 996, 180 is 3.

Given numbers are 960, 807, 996, 180

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

Apply this formula for all numbers.

Step1:

LCM(960, 807) = 258240

GCD(960, 807) = ( 960 x 807 ) / 258240

= 960 / 807

= 960

Step2:

LCM(3, 996) = 996

GCD(3, 996) = ( 3 x 996 ) / 996

= 3 / 996

= 3

Step3:

LCM(3, 180) = 180

GCD(3, 180) = ( 3 x 180 ) / 180

= 3 / 180

= 3

So, Greatest Common Divisor of 960, 807, 996, 180 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 128, 657, 483, 694
• GCD of 465, 191, 293, 990
• GCD of 204, 977, 623, 508
• GCD of 437, 465, 148, 111
• GCD of 116, 841, 352, 912

Given numbers are 960, 807, 996, 180
The greatest common divisor of numbers 960, 807, 996, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 807, 996, 180 is 3.

1. What is the GCD of 960, 807, 996, 180?

GCD of given numbers 960, 807, 996, 180 is 3

2. How to calculate the greatest common divisor of 960, 807, 996, 180?

We can find the highest common divisor of 960, 807, 996, 180 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, 807, 996, 180 i.e 3.

3. How can I use the GCD of 960, 807, 996, 180Calculator?

Out the numbers 960, 807, 996, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.