GCD of 945, 338, 148, 665 Calculator

Given Input numbers are 945, 338, 148, 665

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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 148

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

1, 2, 4, 37, 74, 148

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Greatest Common Divisior

We found the divisors of 945, 338, 148, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 338, 148, 665 is 1.

Therefore, GCD of numbers 945, 338, 148, 665 is 1

Given Input Data is 945, 338, 148, 665

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 338 is 2 x 13 x 13

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 665 is 5 x 7 x 19

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, 338) = 319410

GCD(945, 338) = ( 945 x 338 ) / 319410

GCD(945, 338) = 319410 / 319410

GCD(945, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 665

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

LCM(1, 665) = 665

GCD(1, 665) = ( 1 x 665 ) / 665

GCD(1, 665) = 665 / 665

GCD(1, 665) = 1

GCD of 945, 338, 148, 665 is 1

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1. What is the GCD of 945, 338, 148, 665?

GCD of 945, 338, 148, 665 is 1

2. Where do I get the detailed procedure to find GCD of 945, 338, 148, 665?

You can find a detailed procedure to find GCD of 945, 338, 148, 665 on our page.

3. How to find GCD of 945, 338, 148, 665 on a calculator?

You can find the GCD of 945, 338, 148, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.