GCD of 680, 436, 87, 147 Calculator

Given Input numbers are 680, 436, 87, 147

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

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 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 680, 436, 87, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 436, 87, 147 is 1.

Therefore, GCD of numbers 680, 436, 87, 147 is 1

Given Input Data is 680, 436, 87, 147

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

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

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 87 is 3 x 29

Prime Factorization of 147 is 3 x 7 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(680, 436) = 74120

GCD(680, 436) = ( 680 x 436 ) / 74120

GCD(680, 436) = 296480 / 74120

GCD(680, 436) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 87

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

LCM(4, 87) = 348

GCD(4, 87) = ( 4 x 87 ) / 348

GCD(4, 87) = 348 / 348

GCD(4, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

GCD of 680, 436, 87, 147 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 784, 17, 344
• GCD of 131, 686, 86, 203
• GCD of 624, 658, 28, 561
• GCD of 224, 718, 34, 961
• GCD of 508, 903, 60, 708

1. What is the GCD of 680, 436, 87, 147?

GCD of 680, 436, 87, 147 is 1

2. Where do I get the detailed procedure to find GCD of 680, 436, 87, 147?

You can find a detailed procedure to find GCD of 680, 436, 87, 147 on our page.

3. How to find GCD of 680, 436, 87, 147 on a calculator?

You can find the GCD of 680, 436, 87, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.