GCD of 153, 134, 974, 590 Calculator

Given Input numbers are 153, 134, 974, 590

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 134

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

1, 2, 67, 134

Divisors of 974

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

1, 2, 487, 974

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Greatest Common Divisior

We found the divisors of 153, 134, 974, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 134, 974, 590 is 1.

Therefore, GCD of numbers 153, 134, 974, 590 is 1

Given Input Data is 153, 134, 974, 590

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 134 is 2 x 67

Prime Factorization of 974 is 2 x 487

Prime Factorization of 590 is 2 x 5 x 59

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(153, 134) = 20502

GCD(153, 134) = ( 153 x 134 ) / 20502

GCD(153, 134) = 20502 / 20502

GCD(153, 134) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

GCD of 153, 134, 974, 590 is 1

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1. What is the GCD of 153, 134, 974, 590?

GCD of 153, 134, 974, 590 is 1

2. Where do I get the detailed procedure to find GCD of 153, 134, 974, 590?

You can find a detailed procedure to find GCD of 153, 134, 974, 590 on our page.

3. How to find GCD of 153, 134, 974, 590 on a calculator?

You can find the GCD of 153, 134, 974, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.