GCD of 695, 102, 760, 598 Calculator

Given Input numbers are 695, 102, 760, 598

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

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 695, 102, 760, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 695, 102, 760, 598 is 1.

Therefore, GCD of numbers 695, 102, 760, 598 is 1

Given Input Data is 695, 102, 760, 598

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

Prime Factorization of 695 is 5 x 139

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 598 is 2 x 13 x 23

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(695, 102) = 70890

GCD(695, 102) = ( 695 x 102 ) / 70890

GCD(695, 102) = 70890 / 70890

GCD(695, 102) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 695, 102, 760, 598 is 1

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1. What is the GCD of 695, 102, 760, 598?

GCD of 695, 102, 760, 598 is 1

2. Where do I get the detailed procedure to find GCD of 695, 102, 760, 598?

You can find a detailed procedure to find GCD of 695, 102, 760, 598 on our page.

3. How to find GCD of 695, 102, 760, 598 on a calculator?

You can find the GCD of 695, 102, 760, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.