GCD of 628, 689, 301, 547 Calculator

Given Input numbers are 628, 689, 301, 547

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Greatest Common Divisior

We found the divisors of 628, 689, 301, 547 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 689, 301, 547 is 1.

Therefore, GCD of numbers 628, 689, 301, 547 is 1

Given Input Data is 628, 689, 301, 547

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 689 is 13 x 53

Prime Factorization of 301 is 7 x 43

Prime Factorization of 547 is 547

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(628, 689) = 432692

GCD(628, 689) = ( 628 x 689 ) / 432692

GCD(628, 689) = 432692 / 432692

GCD(628, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 547

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

LCM(1, 547) = 547

GCD(1, 547) = ( 1 x 547 ) / 547

GCD(1, 547) = 547 / 547

GCD(1, 547) = 1

GCD of 628, 689, 301, 547 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 373, 780, 651, 646
• GCD of 334, 788, 300, 102
• GCD of 162, 476, 661, 305
• GCD of 682, 161, 336, 369
• GCD of 820, 809, 721, 201

1. What is the GCD of 628, 689, 301, 547?

GCD of 628, 689, 301, 547 is 1

2. Where do I get the detailed procedure to find GCD of 628, 689, 301, 547?

You can find a detailed procedure to find GCD of 628, 689, 301, 547 on our page.

3. How to find GCD of 628, 689, 301, 547 on a calculator?

You can find the GCD of 628, 689, 301, 547 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.