GCD of 61, 696, 748, 597 Calculator

Given Input numbers are 61, 696, 748, 597

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Greatest Common Divisior

We found the divisors of 61, 696, 748, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 696, 748, 597 is 1.

Therefore, GCD of numbers 61, 696, 748, 597 is 1

Given Input Data is 61, 696, 748, 597

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

Prime Factorization of 61 is 61

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 597 is 3 x 199

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(61, 696) = 42456

GCD(61, 696) = ( 61 x 696 ) / 42456

GCD(61, 696) = 42456 / 42456

GCD(61, 696) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 597

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

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

GCD(1, 597) = 597 / 597

GCD(1, 597) = 1

GCD of 61, 696, 748, 597 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 474, 615, 757
• GCD of 58, 981, 234, 418
• GCD of 82, 982, 815, 445
• GCD of 11, 269, 266, 878
• GCD of 95, 737, 741, 372

1. What is the GCD of 61, 696, 748, 597?

GCD of 61, 696, 748, 597 is 1

2. Where do I get the detailed procedure to find GCD of 61, 696, 748, 597?

You can find a detailed procedure to find GCD of 61, 696, 748, 597 on our page.

3. How to find GCD of 61, 696, 748, 597 on a calculator?

You can find the GCD of 61, 696, 748, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.