GCD of 692, 440, 157, 720 Calculator

Given Input numbers are 692, 440, 157, 720

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

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 692, 440, 157, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 440, 157, 720 is 1.

Therefore, GCD of numbers 692, 440, 157, 720 is 1

Given Input Data is 692, 440, 157, 720

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 157 is 157

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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(692, 440) = 76120

GCD(692, 440) = ( 692 x 440 ) / 76120

GCD(692, 440) = 304480 / 76120

GCD(692, 440) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 157

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

LCM(4, 157) = 628

GCD(4, 157) = ( 4 x 157 ) / 628

GCD(4, 157) = 628 / 628

GCD(4, 157) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

GCD of 692, 440, 157, 720 is 1

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1. What is the GCD of 692, 440, 157, 720?

GCD of 692, 440, 157, 720 is 1

2. Where do I get the detailed procedure to find GCD of 692, 440, 157, 720?

You can find a detailed procedure to find GCD of 692, 440, 157, 720 on our page.

3. How to find GCD of 692, 440, 157, 720 on a calculator?

You can find the GCD of 692, 440, 157, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.