GCD of 278, 420, 138, 577 Calculator

Given Input numbers are 278, 420, 138, 577

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

Divisors of 278

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

1, 2, 139, 278

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Greatest Common Divisior

We found the divisors of 278, 420, 138, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 420, 138, 577 is 1.

Therefore, GCD of numbers 278, 420, 138, 577 is 1

Given Input Data is 278, 420, 138, 577

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 577 is 577

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(278, 420) = 58380

GCD(278, 420) = ( 278 x 420 ) / 58380

GCD(278, 420) = 116760 / 58380

GCD(278, 420) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 138

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

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

GCD(2, 138) = 276 / 138

GCD(2, 138) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 577

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

LCM(2, 577) = 1154

GCD(2, 577) = ( 2 x 577 ) / 1154

GCD(2, 577) = 1154 / 1154

GCD(2, 577) = 1

GCD of 278, 420, 138, 577 is 1

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1. What is the GCD of 278, 420, 138, 577?

GCD of 278, 420, 138, 577 is 1

2. Where do I get the detailed procedure to find GCD of 278, 420, 138, 577?

You can find a detailed procedure to find GCD of 278, 420, 138, 577 on our page.

3. How to find GCD of 278, 420, 138, 577 on a calculator?

You can find the GCD of 278, 420, 138, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.