GCD of 634, 292, 659, 763 Calculator

Given Input numbers are 634, 292, 659, 763

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 634, 292, 659, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 292, 659, 763 is 1.

Therefore, GCD of numbers 634, 292, 659, 763 is 1

Given Input Data is 634, 292, 659, 763

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 659 is 659

Prime Factorization of 763 is 7 x 109

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(634, 292) = 92564

GCD(634, 292) = ( 634 x 292 ) / 92564

GCD(634, 292) = 185128 / 92564

GCD(634, 292) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 659

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

LCM(2, 659) = 1318

GCD(2, 659) = ( 2 x 659 ) / 1318

GCD(2, 659) = 1318 / 1318

GCD(2, 659) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

GCD of 634, 292, 659, 763 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 306, 526, 390
• GCD of 759, 108, 970, 191
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• GCD of 881, 870, 447, 935

1. What is the GCD of 634, 292, 659, 763?

GCD of 634, 292, 659, 763 is 1

2. Where do I get the detailed procedure to find GCD of 634, 292, 659, 763?

You can find a detailed procedure to find GCD of 634, 292, 659, 763 on our page.

3. How to find GCD of 634, 292, 659, 763 on a calculator?

You can find the GCD of 634, 292, 659, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.