GCD of 82, 755, 698, 700 Calculator

Given Input numbers are 82, 755, 698, 700

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

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 82, 755, 698, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 755, 698, 700 is 1.

Therefore, GCD of numbers 82, 755, 698, 700 is 1

Given Input Data is 82, 755, 698, 700

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 755 is 5 x 151

Prime Factorization of 698 is 2 x 349

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(82, 755) = 61910

GCD(82, 755) = ( 82 x 755 ) / 61910

GCD(82, 755) = 61910 / 61910

GCD(82, 755) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 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 82, 755, 698, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 123, 472, 625
• GCD of 63, 688, 526, 480
• GCD of 24, 351, 716, 831
• GCD of 36, 995, 123, 437
• GCD of 73, 812, 917, 403

1. What is the GCD of 82, 755, 698, 700?

GCD of 82, 755, 698, 700 is 1

2. Where do I get the detailed procedure to find GCD of 82, 755, 698, 700?

You can find a detailed procedure to find GCD of 82, 755, 698, 700 on our page.

3. How to find GCD of 82, 755, 698, 700 on a calculator?

You can find the GCD of 82, 755, 698, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.