GCD of 760, 232, 501, 966 Calculator

Given Input numbers are 760, 232, 501, 966

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 760, 232, 501, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 232, 501, 966 is 1.

Therefore, GCD of numbers 760, 232, 501, 966 is 1

Given Input Data is 760, 232, 501, 966

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 501 is 3 x 167

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(760, 232) = 22040

GCD(760, 232) = ( 760 x 232 ) / 22040

GCD(760, 232) = 176320 / 22040

GCD(760, 232) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 501

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

LCM(8, 501) = 4008

GCD(8, 501) = ( 8 x 501 ) / 4008

GCD(8, 501) = 4008 / 4008

GCD(8, 501) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 760, 232, 501, 966 is 1

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1. What is the GCD of 760, 232, 501, 966?

GCD of 760, 232, 501, 966 is 1

2. Where do I get the detailed procedure to find GCD of 760, 232, 501, 966?

You can find a detailed procedure to find GCD of 760, 232, 501, 966 on our page.

3. How to find GCD of 760, 232, 501, 966 on a calculator?

You can find the GCD of 760, 232, 501, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.