GCD of 429, 694, 45, 897 Calculator

Given Input numbers are 429, 694, 45, 897

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

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 429, 694, 45, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 694, 45, 897 is 1.

Therefore, GCD of numbers 429, 694, 45, 897 is 1

Given Input Data is 429, 694, 45, 897

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 694 is 2 x 347

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 897 is 3 x 13 x 23

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(429, 694) = 297726

GCD(429, 694) = ( 429 x 694 ) / 297726

GCD(429, 694) = 297726 / 297726

GCD(429, 694) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 897

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

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

GCD(1, 897) = 897 / 897

GCD(1, 897) = 1

GCD of 429, 694, 45, 897 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 388, 58, 313
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• GCD of 648, 135, 57, 957
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• GCD of 159, 488, 66, 628

1. What is the GCD of 429, 694, 45, 897?

GCD of 429, 694, 45, 897 is 1

2. Where do I get the detailed procedure to find GCD of 429, 694, 45, 897?

You can find a detailed procedure to find GCD of 429, 694, 45, 897 on our page.

3. How to find GCD of 429, 694, 45, 897 on a calculator?

You can find the GCD of 429, 694, 45, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.