GCD of 61, 731, 400, 786 Calculator

Given Input numbers are 61, 731, 400, 786

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 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Greatest Common Divisior

We found the divisors of 61, 731, 400, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 731, 400, 786 is 1.

Therefore, GCD of numbers 61, 731, 400, 786 is 1

Given Input Data is 61, 731, 400, 786

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

Prime Factorization of 61 is 61

Prime Factorization of 731 is 17 x 43

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 786 is 2 x 3 x 131

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, 731) = 44591

GCD(61, 731) = ( 61 x 731 ) / 44591

GCD(61, 731) = 44591 / 44591

GCD(61, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 786

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

LCM(1, 786) = 786

GCD(1, 786) = ( 1 x 786 ) / 786

GCD(1, 786) = 786 / 786

GCD(1, 786) = 1

GCD of 61, 731, 400, 786 is 1

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1. What is the GCD of 61, 731, 400, 786?

GCD of 61, 731, 400, 786 is 1

2. Where do I get the detailed procedure to find GCD of 61, 731, 400, 786?

You can find a detailed procedure to find GCD of 61, 731, 400, 786 on our page.

3. How to find GCD of 61, 731, 400, 786 on a calculator?

You can find the GCD of 61, 731, 400, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.