GCD of 745, 680, 59, 500 Calculator

Given Input numbers are 745, 680, 59, 500

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

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

Greatest Common Divisior

We found the divisors of 745, 680, 59, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 680, 59, 500 is 1.

Therefore, GCD of numbers 745, 680, 59, 500 is 1

Given Input Data is 745, 680, 59, 500

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 59 is 59

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

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(745, 680) = 101320

GCD(745, 680) = ( 745 x 680 ) / 101320

GCD(745, 680) = 506600 / 101320

GCD(745, 680) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 59

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

LCM(5, 59) = 295

GCD(5, 59) = ( 5 x 59 ) / 295

GCD(5, 59) = 295 / 295

GCD(5, 59) = 1

Step3:

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

GCD of 745, 680, 59, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 869, 15, 566
• GCD of 188, 653, 51, 267
• GCD of 225, 231, 77, 578
• GCD of 304, 328, 32, 955
• GCD of 408, 185, 82, 695

1. What is the GCD of 745, 680, 59, 500?

GCD of 745, 680, 59, 500 is 1

2. Where do I get the detailed procedure to find GCD of 745, 680, 59, 500?

You can find a detailed procedure to find GCD of 745, 680, 59, 500 on our page.

3. How to find GCD of 745, 680, 59, 500 on a calculator?

You can find the GCD of 745, 680, 59, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.