GCD of 960, 530, 180, 675 Calculator

Given Input numbers are 960, 530, 180, 675

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 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

GCD of numbers is the greatest common divisor

So, the GCD (960, 530, 180, 675) = 5.

Given numbers are 960, 530, 180, 675

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 530 are 2 x 5 x 53

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

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

The highest common occurrence is 5¹

Therefore, GCD of 960, 530, 180, 675 is 5.

Given numbers are 960, 530, 180, 675

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

Apply this formula for all numbers.

Step1:

LCM(960, 530) = 50880

GCD(960, 530) = ( 960 x 530 ) / 50880

= 960 / 530

= 960

Step2:

LCM(10, 180) = 180

GCD(10, 180) = ( 10 x 180 ) / 180

= 10 / 180

= 10

Step3:

LCM(10, 675) = 1350

GCD(10, 675) = ( 10 x 675 ) / 1350

= 10 / 675

= 10

So, Greatest Common Divisor of 960, 530, 180, 675 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 875, 468, 368, 106
• GCD of 454, 874, 656, 970
• GCD of 704, 256, 477, 250
• GCD of 790, 819, 845, 740
• GCD of 625, 564, 986, 228

Given numbers are 960, 530, 180, 675
The greatest common divisor of numbers 960, 530, 180, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 530, 180, 675 is 5.

1. What is the GCD of 960, 530, 180, 675?

GCD of given numbers 960, 530, 180, 675 is 5

2. How to calculate the greatest common divisor of 960, 530, 180, 675?

We can find the highest common divisor of 960, 530, 180, 675 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, 530, 180, 675 i.e 5.

3. How can I use the GCD of 960, 530, 180, 675Calculator?

Out the numbers 960, 530, 180, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.