GCD of 945, 938, 509, 247 Calculator

Given Input numbers are 945, 938, 509, 247

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 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Greatest Common Divisior

We found the divisors of 945, 938, 509, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 938, 509, 247 is 1.

Therefore, GCD of numbers 945, 938, 509, 247 is 1

Given Input Data is 945, 938, 509, 247

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 938 is 2 x 7 x 67

Prime Factorization of 509 is 509

Prime Factorization of 247 is 13 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, 938) = 126630

GCD(945, 938) = ( 945 x 938 ) / 126630

GCD(945, 938) = 886410 / 126630

GCD(945, 938) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 509

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

LCM(7, 509) = 3563

GCD(7, 509) = ( 7 x 509 ) / 3563

GCD(7, 509) = 3563 / 3563

GCD(7, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 247

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

LCM(1, 247) = 247

GCD(1, 247) = ( 1 x 247 ) / 247

GCD(1, 247) = 247 / 247

GCD(1, 247) = 1

GCD of 945, 938, 509, 247 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 806, 321, 150, 825
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• GCD of 813, 105, 637, 832
• GCD of 585, 925, 298, 727

1. What is the GCD of 945, 938, 509, 247?

GCD of 945, 938, 509, 247 is 1

2. Where do I get the detailed procedure to find GCD of 945, 938, 509, 247?

You can find a detailed procedure to find GCD of 945, 938, 509, 247 on our page.

3. How to find GCD of 945, 938, 509, 247 on a calculator?

You can find the GCD of 945, 938, 509, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.