GCD of 960, 540, 75, 156 Calculator

Given Input numbers are 960, 540, 75, 156

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

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 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 960, 540, 75, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 540, 75, 156 is 3.

Therefore, GCD of numbers 960, 540, 75, 156 is 3

Given Input Data is 960, 540, 75, 156

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 156 is 2 x 2 x 3 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

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

LCM(960, 540) = 8640

GCD(960, 540) = ( 960 x 540 ) / 8640

GCD(960, 540) = 518400 / 8640

GCD(960, 540) = 60

Step2:

Here we consider the GCD from the above i.e. 60 as first number and the next as 75

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

LCM(60, 75) = 300

GCD(60, 75) = ( 60 x 75 ) / 300

GCD(60, 75) = 4500 / 300

GCD(60, 75) = 15

Step3:

Here we consider the GCD from the above i.e. 15 as first number and the next as 156

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

LCM(15, 156) = 780

GCD(15, 156) = ( 15 x 156 ) / 780

GCD(15, 156) = 2340 / 780

GCD(15, 156) = 3

GCD of 960, 540, 75, 156 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 847, 87, 432
• GCD of 462, 378, 77, 128
• GCD of 667, 966, 68, 977
• GCD of 287, 425, 62, 909
• GCD of 306, 871, 37, 978

1. What is the GCD of 960, 540, 75, 156?

GCD of 960, 540, 75, 156 is 3

2. Where do I get the detailed procedure to find GCD of 960, 540, 75, 156?

You can find a detailed procedure to find GCD of 960, 540, 75, 156 on our page.

3. How to find GCD of 960, 540, 75, 156 on a calculator?

You can find the GCD of 960, 540, 75, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.