GCD of 689, 203, 762, 126 Calculator

Given Input numbers are 689, 203, 762, 126

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Greatest Common Divisior

We found the divisors of 689, 203, 762, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 203, 762, 126 is 1.

Therefore, GCD of numbers 689, 203, 762, 126 is 1

Given Input Data is 689, 203, 762, 126

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 203 is 7 x 29

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 126 is 2 x 3 x 3 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(689, 203) = 139867

GCD(689, 203) = ( 689 x 203 ) / 139867

GCD(689, 203) = 139867 / 139867

GCD(689, 203) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

GCD of 689, 203, 762, 126 is 1

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1. What is the GCD of 689, 203, 762, 126?

GCD of 689, 203, 762, 126 is 1

2. Where do I get the detailed procedure to find GCD of 689, 203, 762, 126?

You can find a detailed procedure to find GCD of 689, 203, 762, 126 on our page.

3. How to find GCD of 689, 203, 762, 126 on a calculator?

You can find the GCD of 689, 203, 762, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.