GCD of 61, 730, 382, 278 Calculator

Given Input numbers are 61, 730, 382, 278

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 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 61, 730, 382, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 730, 382, 278 is 1.

Therefore, GCD of numbers 61, 730, 382, 278 is 1

Given Input Data is 61, 730, 382, 278

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

Prime Factorization of 61 is 61

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 382 is 2 x 191

Prime Factorization of 278 is 2 x 139

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, 730) = 44530

GCD(61, 730) = ( 61 x 730 ) / 44530

GCD(61, 730) = 44530 / 44530

GCD(61, 730) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 61, 730, 382, 278 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 424, 532, 160
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• GCD of 42, 107, 186, 589
• GCD of 19, 250, 597, 888
• GCD of 77, 581, 329, 290

1. What is the GCD of 61, 730, 382, 278?

GCD of 61, 730, 382, 278 is 1

2. Where do I get the detailed procedure to find GCD of 61, 730, 382, 278?

You can find a detailed procedure to find GCD of 61, 730, 382, 278 on our page.

3. How to find GCD of 61, 730, 382, 278 on a calculator?

You can find the GCD of 61, 730, 382, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.