GCD of 960, 580, 741, 769 Calculator

Given Input numbers are 960, 580, 741, 769

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 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 960, 580, 741, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 580, 741, 769 is 1.

Therefore, GCD of numbers 960, 580, 741, 769 is 1

Given Input Data is 960, 580, 741, 769

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 580 is 2 x 2 x 5 x 29

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 769 is 769

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, 580) = 27840

GCD(960, 580) = ( 960 x 580 ) / 27840

GCD(960, 580) = 556800 / 27840

GCD(960, 580) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 741

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

LCM(20, 741) = 14820

GCD(20, 741) = ( 20 x 741 ) / 14820

GCD(20, 741) = 14820 / 14820

GCD(20, 741) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

GCD of 960, 580, 741, 769 is 1

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1. What is the GCD of 960, 580, 741, 769?

GCD of 960, 580, 741, 769 is 1

2. Where do I get the detailed procedure to find GCD of 960, 580, 741, 769?

You can find a detailed procedure to find GCD of 960, 580, 741, 769 on our page.

3. How to find GCD of 960, 580, 741, 769 on a calculator?

You can find the GCD of 960, 580, 741, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.