GCD of 82, 915, 164, 974 Calculator

Given Input numbers are 82, 915, 164, 974

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 164

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

1, 2, 4, 41, 82, 164

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 82, 915, 164, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 915, 164, 974 is 1.

Therefore, GCD of numbers 82, 915, 164, 974 is 1

Given Input Data is 82, 915, 164, 974

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 974 is 2 x 487

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(82, 915) = 75030

GCD(82, 915) = ( 82 x 915 ) / 75030

GCD(82, 915) = 75030 / 75030

GCD(82, 915) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 82, 915, 164, 974 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 594, 898, 624
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• GCD of 87, 987, 868, 899

1. What is the GCD of 82, 915, 164, 974?

GCD of 82, 915, 164, 974 is 1

2. Where do I get the detailed procedure to find GCD of 82, 915, 164, 974?

You can find a detailed procedure to find GCD of 82, 915, 164, 974 on our page.

3. How to find GCD of 82, 915, 164, 974 on a calculator?

You can find the GCD of 82, 915, 164, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.