GCD of 692, 370, 716, 765 Calculator

Given Input numbers are 692, 370, 716, 765

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 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 692, 370, 716, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 370, 716, 765 is 1.

Therefore, GCD of numbers 692, 370, 716, 765 is 1

Given Input Data is 692, 370, 716, 765

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 370 is 2 x 5 x 37

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 765 is 3 x 3 x 5 x 17

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, 370) = 128020

GCD(692, 370) = ( 692 x 370 ) / 128020

GCD(692, 370) = 256040 / 128020

GCD(692, 370) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 716

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

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

GCD(2, 716) = 1432 / 716

GCD(2, 716) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 765

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

LCM(2, 765) = 1530

GCD(2, 765) = ( 2 x 765 ) / 1530

GCD(2, 765) = 1530 / 1530

GCD(2, 765) = 1

GCD of 692, 370, 716, 765 is 1

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1. What is the GCD of 692, 370, 716, 765?

GCD of 692, 370, 716, 765 is 1

2. Where do I get the detailed procedure to find GCD of 692, 370, 716, 765?

You can find a detailed procedure to find GCD of 692, 370, 716, 765 on our page.

3. How to find GCD of 692, 370, 716, 765 on a calculator?

You can find the GCD of 692, 370, 716, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.