GCD of 122, 148, 53, 359 Calculator

Given Input numbers are 122, 148, 53, 359

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

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 122, 148, 53, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 148, 53, 359 is 1.

Therefore, GCD of numbers 122, 148, 53, 359 is 1

Given Input Data is 122, 148, 53, 359

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

Prime Factorization of 122 is 2 x 61

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 53 is 53

Prime Factorization of 359 is 359

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(122, 148) = 9028

GCD(122, 148) = ( 122 x 148 ) / 9028

GCD(122, 148) = 18056 / 9028

GCD(122, 148) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

GCD of 122, 148, 53, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 943, 49, 384
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• GCD of 429, 480, 25, 862

1. What is the GCD of 122, 148, 53, 359?

GCD of 122, 148, 53, 359 is 1

2. Where do I get the detailed procedure to find GCD of 122, 148, 53, 359?

You can find a detailed procedure to find GCD of 122, 148, 53, 359 on our page.

3. How to find GCD of 122, 148, 53, 359 on a calculator?

You can find the GCD of 122, 148, 53, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.