GCD of 657, 429, 892, 736 Calculator

Given Input numbers are 657, 429, 892, 736

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

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 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 657, 429, 892, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 429, 892, 736 is 1.

Therefore, GCD of numbers 657, 429, 892, 736 is 1

Given Input Data is 657, 429, 892, 736

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 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(657, 429) = 93951

GCD(657, 429) = ( 657 x 429 ) / 93951

GCD(657, 429) = 281853 / 93951

GCD(657, 429) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 892

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

LCM(3, 892) = 2676

GCD(3, 892) = ( 3 x 892 ) / 2676

GCD(3, 892) = 2676 / 2676

GCD(3, 892) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 657, 429, 892, 736 is 1

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1. What is the GCD of 657, 429, 892, 736?

GCD of 657, 429, 892, 736 is 1

2. Where do I get the detailed procedure to find GCD of 657, 429, 892, 736?

You can find a detailed procedure to find GCD of 657, 429, 892, 736 on our page.

3. How to find GCD of 657, 429, 892, 736 on a calculator?

You can find the GCD of 657, 429, 892, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.