GCD of 890, 376, 539, 420 Calculator

Given Input numbers are 890, 376, 539, 420

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

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

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

Greatest Common Divisior

We found the divisors of 890, 376, 539, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 376, 539, 420 is 1.

Therefore, GCD of numbers 890, 376, 539, 420 is 1

Given Input Data is 890, 376, 539, 420

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

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 420 is 2 x 2 x 3 x 5 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(890, 376) = 167320

GCD(890, 376) = ( 890 x 376 ) / 167320

GCD(890, 376) = 334640 / 167320

GCD(890, 376) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 539

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

LCM(2, 539) = 1078

GCD(2, 539) = ( 2 x 539 ) / 1078

GCD(2, 539) = 1078 / 1078

GCD(2, 539) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 890, 376, 539, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 432, 226, 472, 677
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• GCD of 104, 786, 285, 949

1. What is the GCD of 890, 376, 539, 420?

GCD of 890, 376, 539, 420 is 1

2. Where do I get the detailed procedure to find GCD of 890, 376, 539, 420?

You can find a detailed procedure to find GCD of 890, 376, 539, 420 on our page.

3. How to find GCD of 890, 376, 539, 420 on a calculator?

You can find the GCD of 890, 376, 539, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.