GCD of 714, 100, 532, 207 Calculator

Given Input numbers are 714, 100, 532, 207

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 714, 100, 532, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 100, 532, 207 is 1.

Therefore, GCD of numbers 714, 100, 532, 207 is 1

Given Input Data is 714, 100, 532, 207

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 207 is 3 x 3 x 23

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(714, 100) = 35700

GCD(714, 100) = ( 714 x 100 ) / 35700

GCD(714, 100) = 71400 / 35700

GCD(714, 100) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 532

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

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

GCD(2, 532) = 1064 / 532

GCD(2, 532) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 207

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

LCM(2, 207) = 414

GCD(2, 207) = ( 2 x 207 ) / 414

GCD(2, 207) = 414 / 414

GCD(2, 207) = 1

GCD of 714, 100, 532, 207 is 1

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1. What is the GCD of 714, 100, 532, 207?

GCD of 714, 100, 532, 207 is 1

2. Where do I get the detailed procedure to find GCD of 714, 100, 532, 207?

You can find a detailed procedure to find GCD of 714, 100, 532, 207 on our page.

3. How to find GCD of 714, 100, 532, 207 on a calculator?

You can find the GCD of 714, 100, 532, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.