GCD of 657, 299, 756, 434 Calculator

Given Input numbers are 657, 299, 756, 434

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 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 657, 299, 756, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 299, 756, 434 is 1.

Therefore, GCD of numbers 657, 299, 756, 434 is 1

Given Input Data is 657, 299, 756, 434

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 299 is 13 x 23

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 434 is 2 x 7 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(657, 299) = 196443

GCD(657, 299) = ( 657 x 299 ) / 196443

GCD(657, 299) = 196443 / 196443

GCD(657, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 657, 299, 756, 434 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 519, 623, 395
• GCD of 136, 234, 398, 373
• GCD of 980, 319, 982, 639
• GCD of 569, 314, 866, 518
• GCD of 972, 377, 120, 360

1. What is the GCD of 657, 299, 756, 434?

GCD of 657, 299, 756, 434 is 1

2. Where do I get the detailed procedure to find GCD of 657, 299, 756, 434?

You can find a detailed procedure to find GCD of 657, 299, 756, 434 on our page.

3. How to find GCD of 657, 299, 756, 434 on a calculator?

You can find the GCD of 657, 299, 756, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.