GCD of 676, 759, 983, 402 Calculator

Given Input numbers are 676, 759, 983, 402

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Greatest Common Divisior

We found the divisors of 676, 759, 983, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 759, 983, 402 is 1.

Therefore, GCD of numbers 676, 759, 983, 402 is 1

Given Input Data is 676, 759, 983, 402

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 983 is 983

Prime Factorization of 402 is 2 x 3 x 67

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(676, 759) = 513084

GCD(676, 759) = ( 676 x 759 ) / 513084

GCD(676, 759) = 513084 / 513084

GCD(676, 759) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

GCD of 676, 759, 983, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 108, 499, 175
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• GCD of 453, 879, 436, 519
• GCD of 611, 684, 158, 430
• GCD of 863, 625, 332, 242

1. What is the GCD of 676, 759, 983, 402?

GCD of 676, 759, 983, 402 is 1

2. Where do I get the detailed procedure to find GCD of 676, 759, 983, 402?

You can find a detailed procedure to find GCD of 676, 759, 983, 402 on our page.

3. How to find GCD of 676, 759, 983, 402 on a calculator?

You can find the GCD of 676, 759, 983, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.