GCD of 892, 402, 580, 164 Calculator

Given Input numbers are 892, 402, 580, 164

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

Divisors of 892

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

1, 2, 4, 223, 446, 892

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 164

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

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 892, 402, 580, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 402, 580, 164 is 2.

Therefore, GCD of numbers 892, 402, 580, 164 is 2

Given Input Data is 892, 402, 580, 164

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 164 is 2 x 2 x 41

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(892, 402) = 179292

GCD(892, 402) = ( 892 x 402 ) / 179292

GCD(892, 402) = 358584 / 179292

GCD(892, 402) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 580

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

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

GCD(2, 580) = 1160 / 580

GCD(2, 580) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 164

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

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

GCD(2, 164) = 328 / 164

GCD(2, 164) = 2

GCD of 892, 402, 580, 164 is 2

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 892, 402, 580, 164?

GCD of 892, 402, 580, 164 is 2

2. Where do I get the detailed procedure to find GCD of 892, 402, 580, 164?

You can find a detailed procedure to find GCD of 892, 402, 580, 164 on our page.

3. How to find GCD of 892, 402, 580, 164 on a calculator?

You can find the GCD of 892, 402, 580, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.