GCD of 945, 598, 71, 499 Calculator

Given Input numbers are 945, 598, 71, 499

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 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Greatest Common Divisior

We found the divisors of 945, 598, 71, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 598, 71, 499 is 1.

Therefore, GCD of numbers 945, 598, 71, 499 is 1

Given Input Data is 945, 598, 71, 499

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 598 is 2 x 13 x 23

Prime Factorization of 71 is 71

Prime Factorization of 499 is 499

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, 598) = 565110

GCD(945, 598) = ( 945 x 598 ) / 565110

GCD(945, 598) = 565110 / 565110

GCD(945, 598) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 499

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

LCM(1, 499) = 499

GCD(1, 499) = ( 1 x 499 ) / 499

GCD(1, 499) = 499 / 499

GCD(1, 499) = 1

GCD of 945, 598, 71, 499 is 1

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• GCD of 507, 392, 62, 688
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• GCD of 651, 213, 94, 710

1. What is the GCD of 945, 598, 71, 499?

GCD of 945, 598, 71, 499 is 1

2. Where do I get the detailed procedure to find GCD of 945, 598, 71, 499?

You can find a detailed procedure to find GCD of 945, 598, 71, 499 on our page.

3. How to find GCD of 945, 598, 71, 499 on a calculator?

You can find the GCD of 945, 598, 71, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.