GCD of 386, 505, 61, 784 Calculator

Given Input numbers are 386, 505, 61, 784

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

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 61

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

1, 61

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 386, 505, 61, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 386, 505, 61, 784 is 1.

Therefore, GCD of numbers 386, 505, 61, 784 is 1

Given Input Data is 386, 505, 61, 784

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

Prime Factorization of 386 is 2 x 193

Prime Factorization of 505 is 5 x 101

Prime Factorization of 61 is 61

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 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(386, 505) = 194930

GCD(386, 505) = ( 386 x 505 ) / 194930

GCD(386, 505) = 194930 / 194930

GCD(386, 505) = 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 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 386, 505, 61, 784 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 292, 764, 85, 560
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• GCD of 193, 490, 79, 934
• GCD of 718, 255, 99, 985

1. What is the GCD of 386, 505, 61, 784?

GCD of 386, 505, 61, 784 is 1

2. Where do I get the detailed procedure to find GCD of 386, 505, 61, 784?

You can find a detailed procedure to find GCD of 386, 505, 61, 784 on our page.

3. How to find GCD of 386, 505, 61, 784 on a calculator?

You can find the GCD of 386, 505, 61, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.