GCD of 375, 420, 40, 889 Calculator

Given Input numbers are 375, 420, 40, 889

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

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

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 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 375, 420, 40, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 420, 40, 889 is 1.

Therefore, GCD of numbers 375, 420, 40, 889 is 1

Given Input Data is 375, 420, 40, 889

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

Prime Factorization of 375 is 3 x 5 x 5 x 5

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 889 is 7 x 127

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(375, 420) = 10500

GCD(375, 420) = ( 375 x 420 ) / 10500

GCD(375, 420) = 157500 / 10500

GCD(375, 420) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 40

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

LCM(15, 40) = 120

GCD(15, 40) = ( 15 x 40 ) / 120

GCD(15, 40) = 600 / 120

GCD(15, 40) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 889

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

LCM(5, 889) = 4445

GCD(5, 889) = ( 5 x 889 ) / 4445

GCD(5, 889) = 4445 / 4445

GCD(5, 889) = 1

GCD of 375, 420, 40, 889 is 1

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• GCD of 469, 968, 39, 504
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• GCD of 751, 507, 71, 278

1. What is the GCD of 375, 420, 40, 889?

GCD of 375, 420, 40, 889 is 1

2. Where do I get the detailed procedure to find GCD of 375, 420, 40, 889?

You can find a detailed procedure to find GCD of 375, 420, 40, 889 on our page.

3. How to find GCD of 375, 420, 40, 889 on a calculator?

You can find the GCD of 375, 420, 40, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.