GCD of 542, 629, 500, 700 Calculator

Given Input numbers are 542, 629, 500, 700

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

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 629

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

1, 17, 37, 629

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 542, 629, 500, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 629, 500, 700 is 1.

Therefore, GCD of numbers 542, 629, 500, 700 is 1

Given Input Data is 542, 629, 500, 700

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 629 is 17 x 37

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 700 is 2 x 2 x 5 x 5 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(542, 629) = 340918

GCD(542, 629) = ( 542 x 629 ) / 340918

GCD(542, 629) = 340918 / 340918

GCD(542, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 542, 629, 500, 700 is 1

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1. What is the GCD of 542, 629, 500, 700?

GCD of 542, 629, 500, 700 is 1

2. Where do I get the detailed procedure to find GCD of 542, 629, 500, 700?

You can find a detailed procedure to find GCD of 542, 629, 500, 700 on our page.

3. How to find GCD of 542, 629, 500, 700 on a calculator?

You can find the GCD of 542, 629, 500, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.