GCD of 701, 126, 416, 629 Calculator

Given Input numbers are 701, 126, 416, 629

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

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 701, 126, 416, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 701, 126, 416, 629 is 1.

Therefore, GCD of numbers 701, 126, 416, 629 is 1

Given Input Data is 701, 126, 416, 629

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

Prime Factorization of 701 is 701

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 629 is 17 x 37

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(701, 126) = 88326

GCD(701, 126) = ( 701 x 126 ) / 88326

GCD(701, 126) = 88326 / 88326

GCD(701, 126) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 629

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

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

GCD(1, 629) = 629 / 629

GCD(1, 629) = 1

GCD of 701, 126, 416, 629 is 1

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1. What is the GCD of 701, 126, 416, 629?

GCD of 701, 126, 416, 629 is 1

2. Where do I get the detailed procedure to find GCD of 701, 126, 416, 629?

You can find a detailed procedure to find GCD of 701, 126, 416, 629 on our page.

3. How to find GCD of 701, 126, 416, 629 on a calculator?

You can find the GCD of 701, 126, 416, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.