GCD of 553, 546, 150, 680 Calculator

Given Input numbers are 553, 546, 150, 680

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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 553, 546, 150, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 546, 150, 680 is 1.

Therefore, GCD of numbers 553, 546, 150, 680 is 1

Given Input Data is 553, 546, 150, 680

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 150 is 2 x 3 x 5 x 5

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(553, 546) = 43134

GCD(553, 546) = ( 553 x 546 ) / 43134

GCD(553, 546) = 301938 / 43134

GCD(553, 546) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 150

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

LCM(7, 150) = 1050

GCD(7, 150) = ( 7 x 150 ) / 1050

GCD(7, 150) = 1050 / 1050

GCD(7, 150) = 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 553, 546, 150, 680 is 1

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1. What is the GCD of 553, 546, 150, 680?

GCD of 553, 546, 150, 680 is 1

2. Where do I get the detailed procedure to find GCD of 553, 546, 150, 680?

You can find a detailed procedure to find GCD of 553, 546, 150, 680 on our page.

3. How to find GCD of 553, 546, 150, 680 on a calculator?

You can find the GCD of 553, 546, 150, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.