GCD of 700, 432, 76, 586 Calculator

Given Input numbers are 700, 432, 76, 586

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

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 700, 432, 76, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 432, 76, 586 is 2.

Therefore, GCD of numbers 700, 432, 76, 586 is 2

Given Input Data is 700, 432, 76, 586

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 586 is 2 x 293

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(700, 432) = 75600

GCD(700, 432) = ( 700 x 432 ) / 75600

GCD(700, 432) = 302400 / 75600

GCD(700, 432) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 76

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

LCM(4, 76) = 76

GCD(4, 76) = ( 4 x 76 ) / 76

GCD(4, 76) = 304 / 76

GCD(4, 76) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 586

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

LCM(4, 586) = 1172

GCD(4, 586) = ( 4 x 586 ) / 1172

GCD(4, 586) = 2344 / 1172

GCD(4, 586) = 2

GCD of 700, 432, 76, 586 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 923, 95, 988
• GCD of 742, 667, 62, 511
• GCD of 330, 972, 35, 887
• GCD of 982, 760, 26, 677
• GCD of 394, 941, 19, 149

1. What is the GCD of 700, 432, 76, 586?

GCD of 700, 432, 76, 586 is 2

2. Where do I get the detailed procedure to find GCD of 700, 432, 76, 586?

You can find a detailed procedure to find GCD of 700, 432, 76, 586 on our page.

3. How to find GCD of 700, 432, 76, 586 on a calculator?

You can find the GCD of 700, 432, 76, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.