GCD of 101, 289, 64, 162 Calculator

Given Input numbers are 101, 289, 64, 162

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

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 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 101, 289, 64, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 289, 64, 162 is 1.

Therefore, GCD of numbers 101, 289, 64, 162 is 1

Given Input Data is 101, 289, 64, 162

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

Prime Factorization of 101 is 101

Prime Factorization of 289 is 17 x 17

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

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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(101, 289) = 29189

GCD(101, 289) = ( 101 x 289 ) / 29189

GCD(101, 289) = 29189 / 29189

GCD(101, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

GCD of 101, 289, 64, 162 is 1

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• GCD of 559, 550, 65, 668
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1. What is the GCD of 101, 289, 64, 162?

GCD of 101, 289, 64, 162 is 1

2. Where do I get the detailed procedure to find GCD of 101, 289, 64, 162?

You can find a detailed procedure to find GCD of 101, 289, 64, 162 on our page.

3. How to find GCD of 101, 289, 64, 162 on a calculator?

You can find the GCD of 101, 289, 64, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.