GCD of 945, 574, 135, 658 Calculator

Given Input numbers are 945, 574, 135, 658

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Greatest Common Divisior

We found the divisors of 945, 574, 135, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 574, 135, 658 is 1.

Therefore, GCD of numbers 945, 574, 135, 658 is 1

Given Input Data is 945, 574, 135, 658

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 658 is 2 x 7 x 47

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(945, 574) = 77490

GCD(945, 574) = ( 945 x 574 ) / 77490

GCD(945, 574) = 542430 / 77490

GCD(945, 574) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 135

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

LCM(7, 135) = 945

GCD(7, 135) = ( 7 x 135 ) / 945

GCD(7, 135) = 945 / 945

GCD(7, 135) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

GCD of 945, 574, 135, 658 is 1

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1. What is the GCD of 945, 574, 135, 658?

GCD of 945, 574, 135, 658 is 1

2. Where do I get the detailed procedure to find GCD of 945, 574, 135, 658?

You can find a detailed procedure to find GCD of 945, 574, 135, 658 on our page.

3. How to find GCD of 945, 574, 135, 658 on a calculator?

You can find the GCD of 945, 574, 135, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.