GCD of 64, 892, 164, 475 Calculator

Given Input numbers are 64, 892, 164, 475

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

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 64, 892, 164, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 892, 164, 475 is 1.

Therefore, GCD of numbers 64, 892, 164, 475 is 1

Given Input Data is 64, 892, 164, 475

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

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 475 is 5 x 5 x 19

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(64, 892) = 14272

GCD(64, 892) = ( 64 x 892 ) / 14272

GCD(64, 892) = 57088 / 14272

GCD(64, 892) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 164

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

LCM(4, 164) = 164

GCD(4, 164) = ( 4 x 164 ) / 164

GCD(4, 164) = 656 / 164

GCD(4, 164) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 475

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

LCM(4, 475) = 1900

GCD(4, 475) = ( 4 x 475 ) / 1900

GCD(4, 475) = 1900 / 1900

GCD(4, 475) = 1

GCD of 64, 892, 164, 475 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 236, 353, 627
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• GCD of 11, 227, 261, 905
• GCD of 92, 292, 969, 442
• GCD of 46, 976, 223, 488

1. What is the GCD of 64, 892, 164, 475?

GCD of 64, 892, 164, 475 is 1

2. Where do I get the detailed procedure to find GCD of 64, 892, 164, 475?

You can find a detailed procedure to find GCD of 64, 892, 164, 475 on our page.

3. How to find GCD of 64, 892, 164, 475 on a calculator?

You can find the GCD of 64, 892, 164, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.