GCD of 960, 785, 537, 952 Calculator

Given Input numbers are 960, 785, 537, 952

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 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Greatest Common Divisior

We found the divisors of 960, 785, 537, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 785, 537, 952 is 1.

Therefore, GCD of numbers 960, 785, 537, 952 is 1

Given Input Data is 960, 785, 537, 952

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 785 is 5 x 157

Prime Factorization of 537 is 3 x 179

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

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

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, 785) = 150720

GCD(960, 785) = ( 960 x 785 ) / 150720

GCD(960, 785) = 753600 / 150720

GCD(960, 785) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 537

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

LCM(5, 537) = 2685

GCD(5, 537) = ( 5 x 537 ) / 2685

GCD(5, 537) = 2685 / 2685

GCD(5, 537) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

GCD of 960, 785, 537, 952 is 1

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1. What is the GCD of 960, 785, 537, 952?

GCD of 960, 785, 537, 952 is 1

2. Where do I get the detailed procedure to find GCD of 960, 785, 537, 952?

You can find a detailed procedure to find GCD of 960, 785, 537, 952 on our page.

3. How to find GCD of 960, 785, 537, 952 on a calculator?

You can find the GCD of 960, 785, 537, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.