GCD of 945, 207, 398, 942 Calculator

Given Input numbers are 945, 207, 398, 942

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 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 945, 207, 398, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 207, 398, 942 is 1.

Therefore, GCD of numbers 945, 207, 398, 942 is 1

Given Input Data is 945, 207, 398, 942

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 207 is 3 x 3 x 23

Prime Factorization of 398 is 2 x 199

Prime Factorization of 942 is 2 x 3 x 157

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, 207) = 21735

GCD(945, 207) = ( 945 x 207 ) / 21735

GCD(945, 207) = 195615 / 21735

GCD(945, 207) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 398

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

LCM(9, 398) = 3582

GCD(9, 398) = ( 9 x 398 ) / 3582

GCD(9, 398) = 3582 / 3582

GCD(9, 398) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 945, 207, 398, 942 is 1

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1. What is the GCD of 945, 207, 398, 942?

GCD of 945, 207, 398, 942 is 1

2. Where do I get the detailed procedure to find GCD of 945, 207, 398, 942?

You can find a detailed procedure to find GCD of 945, 207, 398, 942 on our page.

3. How to find GCD of 945, 207, 398, 942 on a calculator?

You can find the GCD of 945, 207, 398, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.