GCD of 378, 512, 71, 890 Calculator

Given Input numbers are 378, 512, 71, 890

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 890

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

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

Greatest Common Divisior

We found the divisors of 378, 512, 71, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 512, 71, 890 is 1.

Therefore, GCD of numbers 378, 512, 71, 890 is 1

Given Input Data is 378, 512, 71, 890

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 71 is 71

Prime Factorization of 890 is 2 x 5 x 89

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(378, 512) = 96768

GCD(378, 512) = ( 378 x 512 ) / 96768

GCD(378, 512) = 193536 / 96768

GCD(378, 512) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 890

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

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

GCD(1, 890) = 890 / 890

GCD(1, 890) = 1

GCD of 378, 512, 71, 890 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 850, 942, 87, 257
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• GCD of 928, 379, 34, 796
• GCD of 993, 924, 45, 408

1. What is the GCD of 378, 512, 71, 890?

GCD of 378, 512, 71, 890 is 1

2. Where do I get the detailed procedure to find GCD of 378, 512, 71, 890?

You can find a detailed procedure to find GCD of 378, 512, 71, 890 on our page.

3. How to find GCD of 378, 512, 71, 890 on a calculator?

You can find the GCD of 378, 512, 71, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.