GCD of 61, 182, 564, 123 Calculator

Given Input numbers are 61, 182, 564, 123

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 61, 182, 564, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 182, 564, 123 is 1.

Therefore, GCD of numbers 61, 182, 564, 123 is 1

Given Input Data is 61, 182, 564, 123

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

Prime Factorization of 61 is 61

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 123 is 3 x 41

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(61, 182) = 11102

GCD(61, 182) = ( 61 x 182 ) / 11102

GCD(61, 182) = 11102 / 11102

GCD(61, 182) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 61, 182, 564, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 882, 812, 818
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• GCD of 51, 871, 576, 927
• GCD of 89, 144, 297, 954
• GCD of 74, 393, 608, 511

1. What is the GCD of 61, 182, 564, 123?

GCD of 61, 182, 564, 123 is 1

2. Where do I get the detailed procedure to find GCD of 61, 182, 564, 123?

You can find a detailed procedure to find GCD of 61, 182, 564, 123 on our page.

3. How to find GCD of 61, 182, 564, 123 on a calculator?

You can find the GCD of 61, 182, 564, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.