GCD of 429, 630, 94, 784 Calculator

Given Input numbers are 429, 630, 94, 784

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 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 429, 630, 94, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 630, 94, 784 is 1.

Therefore, GCD of numbers 429, 630, 94, 784 is 1

Given Input Data is 429, 630, 94, 784

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 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 94 is 2 x 47

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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, 630) = 90090

GCD(429, 630) = ( 429 x 630 ) / 90090

GCD(429, 630) = 270270 / 90090

GCD(429, 630) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 94

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

LCM(3, 94) = 282

GCD(3, 94) = ( 3 x 94 ) / 282

GCD(3, 94) = 282 / 282

GCD(3, 94) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 429, 630, 94, 784 is 1

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1. What is the GCD of 429, 630, 94, 784?

GCD of 429, 630, 94, 784 is 1

2. Where do I get the detailed procedure to find GCD of 429, 630, 94, 784?

You can find a detailed procedure to find GCD of 429, 630, 94, 784 on our page.

3. How to find GCD of 429, 630, 94, 784 on a calculator?

You can find the GCD of 429, 630, 94, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.