GCD of 970, 606, 131, 458 Calculator

Given Input numbers are 970, 606, 131, 458

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 970, 606, 131, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 606, 131, 458 is 1.

Therefore, GCD of numbers 970, 606, 131, 458 is 1

Given Input Data is 970, 606, 131, 458

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 131 is 131

Prime Factorization of 458 is 2 x 229

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(970, 606) = 293910

GCD(970, 606) = ( 970 x 606 ) / 293910

GCD(970, 606) = 587820 / 293910

GCD(970, 606) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 131

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

LCM(2, 131) = 262

GCD(2, 131) = ( 2 x 131 ) / 262

GCD(2, 131) = 262 / 262

GCD(2, 131) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 970, 606, 131, 458 is 1

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1. What is the GCD of 970, 606, 131, 458?

GCD of 970, 606, 131, 458 is 1

2. Where do I get the detailed procedure to find GCD of 970, 606, 131, 458?

You can find a detailed procedure to find GCD of 970, 606, 131, 458 on our page.

3. How to find GCD of 970, 606, 131, 458 on a calculator?

You can find the GCD of 970, 606, 131, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.