GCD of 732, 960, 545, 757 Calculator

Given Input numbers are 732, 960, 545, 757

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 732, 960, 545, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 960, 545, 757 is 1.

Therefore, GCD of numbers 732, 960, 545, 757 is 1

Given Input Data is 732, 960, 545, 757

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

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

Prime Factorization of 545 is 5 x 109

Prime Factorization of 757 is 757

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(732, 960) = 58560

GCD(732, 960) = ( 732 x 960 ) / 58560

GCD(732, 960) = 702720 / 58560

GCD(732, 960) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 545

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

LCM(12, 545) = 6540

GCD(12, 545) = ( 12 x 545 ) / 6540

GCD(12, 545) = 6540 / 6540

GCD(12, 545) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 757

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

LCM(1, 757) = 757

GCD(1, 757) = ( 1 x 757 ) / 757

GCD(1, 757) = 757 / 757

GCD(1, 757) = 1

GCD of 732, 960, 545, 757 is 1

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1. What is the GCD of 732, 960, 545, 757?

GCD of 732, 960, 545, 757 is 1

2. Where do I get the detailed procedure to find GCD of 732, 960, 545, 757?

You can find a detailed procedure to find GCD of 732, 960, 545, 757 on our page.

3. How to find GCD of 732, 960, 545, 757 on a calculator?

You can find the GCD of 732, 960, 545, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.