GCD of 732, 532, 65, 700 Calculator

Given Input numbers are 732, 532, 65, 700

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 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 732, 532, 65, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 532, 65, 700 is 1.

Therefore, GCD of numbers 732, 532, 65, 700 is 1

Given Input Data is 732, 532, 65, 700

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 532 is 2 x 2 x 7 x 19

Prime Factorization of 65 is 5 x 13

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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, 532) = 97356

GCD(732, 532) = ( 732 x 532 ) / 97356

GCD(732, 532) = 389424 / 97356

GCD(732, 532) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 65

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

LCM(4, 65) = 260

GCD(4, 65) = ( 4 x 65 ) / 260

GCD(4, 65) = 260 / 260

GCD(4, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 732, 532, 65, 700 is 1

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1. What is the GCD of 732, 532, 65, 700?

GCD of 732, 532, 65, 700 is 1

2. Where do I get the detailed procedure to find GCD of 732, 532, 65, 700?

You can find a detailed procedure to find GCD of 732, 532, 65, 700 on our page.

3. How to find GCD of 732, 532, 65, 700 on a calculator?

You can find the GCD of 732, 532, 65, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.