GCD of 134, 560, 45, 122 Calculator

Given Input numbers are 134, 560, 45, 122

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

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 122

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

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 134, 560, 45, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 560, 45, 122 is 1.

Therefore, GCD of numbers 134, 560, 45, 122 is 1

Given Input Data is 134, 560, 45, 122

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 122 is 2 x 61

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(134, 560) = 37520

GCD(134, 560) = ( 134 x 560 ) / 37520

GCD(134, 560) = 75040 / 37520

GCD(134, 560) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

GCD of 134, 560, 45, 122 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 393, 67, 791
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1. What is the GCD of 134, 560, 45, 122?

GCD of 134, 560, 45, 122 is 1

2. Where do I get the detailed procedure to find GCD of 134, 560, 45, 122?

You can find a detailed procedure to find GCD of 134, 560, 45, 122 on our page.

3. How to find GCD of 134, 560, 45, 122 on a calculator?

You can find the GCD of 134, 560, 45, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.