GCD of 469, 700, 17, 372 Calculator

Given Input numbers are 469, 700, 17, 372

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

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Greatest Common Divisior

We found the divisors of 469, 700, 17, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 700, 17, 372 is 1.

Therefore, GCD of numbers 469, 700, 17, 372 is 1

Given Input Data is 469, 700, 17, 372

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

Prime Factorization of 469 is 7 x 67

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 17 is 17

Prime Factorization of 372 is 2 x 2 x 3 x 31

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(469, 700) = 46900

GCD(469, 700) = ( 469 x 700 ) / 46900

GCD(469, 700) = 328300 / 46900

GCD(469, 700) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 17

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

LCM(7, 17) = 119

GCD(7, 17) = ( 7 x 17 ) / 119

GCD(7, 17) = 119 / 119

GCD(7, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 372

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

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

GCD(1, 372) = 372 / 372

GCD(1, 372) = 1

GCD of 469, 700, 17, 372 is 1

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• GCD of 575, 276, 18, 506
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1. What is the GCD of 469, 700, 17, 372?

GCD of 469, 700, 17, 372 is 1

2. Where do I get the detailed procedure to find GCD of 469, 700, 17, 372?

You can find a detailed procedure to find GCD of 469, 700, 17, 372 on our page.

3. How to find GCD of 469, 700, 17, 372 on a calculator?

You can find the GCD of 469, 700, 17, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.