GCD of 59, 716, 378, 680 Calculator

Given Input numbers are 59, 716, 378, 680

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

Divisors of 59

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

1, 59

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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

Greatest Common Divisior

We found the divisors of 59, 716, 378, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 716, 378, 680 is 1.

Therefore, GCD of numbers 59, 716, 378, 680 is 1

Given Input Data is 59, 716, 378, 680

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

Prime Factorization of 59 is 59

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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

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(59, 716) = 42244

GCD(59, 716) = ( 59 x 716 ) / 42244

GCD(59, 716) = 42244 / 42244

GCD(59, 716) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 59, 716, 378, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 861, 416, 277
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• GCD of 22, 777, 921, 709
• GCD of 25, 121, 984, 982

1. What is the GCD of 59, 716, 378, 680?

GCD of 59, 716, 378, 680 is 1

2. Where do I get the detailed procedure to find GCD of 59, 716, 378, 680?

You can find a detailed procedure to find GCD of 59, 716, 378, 680 on our page.

3. How to find GCD of 59, 716, 378, 680 on a calculator?

You can find the GCD of 59, 716, 378, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.