GCD of 83, 122, 528, 704 Calculator

Given Input numbers are 83, 122, 528, 704

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 83, 122, 528, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 122, 528, 704 is 1.

Therefore, GCD of numbers 83, 122, 528, 704 is 1

Given Input Data is 83, 122, 528, 704

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

Prime Factorization of 83 is 83

Prime Factorization of 122 is 2 x 61

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(83, 122) = 10126

GCD(83, 122) = ( 83 x 122 ) / 10126

GCD(83, 122) = 10126 / 10126

GCD(83, 122) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 83, 122, 528, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 366, 992, 707
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• GCD of 23, 167, 872, 741
• GCD of 56, 953, 149, 416
• GCD of 47, 482, 866, 932

1. What is the GCD of 83, 122, 528, 704?

GCD of 83, 122, 528, 704 is 1

2. Where do I get the detailed procedure to find GCD of 83, 122, 528, 704?

You can find a detailed procedure to find GCD of 83, 122, 528, 704 on our page.

3. How to find GCD of 83, 122, 528, 704 on a calculator?

You can find the GCD of 83, 122, 528, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.