GCD of 787, 748, 61, 474 Calculator

Given Input numbers are 787, 748, 61, 474

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

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

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 61

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

1, 61

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 787, 748, 61, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 748, 61, 474 is 1.

Therefore, GCD of numbers 787, 748, 61, 474 is 1

Given Input Data is 787, 748, 61, 474

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

Prime Factorization of 787 is 787

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

Prime Factorization of 61 is 61

Prime Factorization of 474 is 2 x 3 x 79

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(787, 748) = 588676

GCD(787, 748) = ( 787 x 748 ) / 588676

GCD(787, 748) = 588676 / 588676

GCD(787, 748) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 787, 748, 61, 474 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 874, 83, 832
• GCD of 354, 740, 79, 115
• GCD of 815, 481, 55, 405
• GCD of 956, 924, 10, 764
• GCD of 422, 275, 89, 216

1. What is the GCD of 787, 748, 61, 474?

GCD of 787, 748, 61, 474 is 1

2. Where do I get the detailed procedure to find GCD of 787, 748, 61, 474?

You can find a detailed procedure to find GCD of 787, 748, 61, 474 on our page.

3. How to find GCD of 787, 748, 61, 474 on a calculator?

You can find the GCD of 787, 748, 61, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.