GCD of 90, 553, 992, 546 Calculator

Given Input numbers are 90, 553, 992, 546

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 553

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

1, 7, 79, 553

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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

Greatest Common Divisior

We found the divisors of 90, 553, 992, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 553, 992, 546 is 1.

Therefore, GCD of numbers 90, 553, 992, 546 is 1

Given Input Data is 90, 553, 992, 546

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 553 is 7 x 79

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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

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(90, 553) = 49770

GCD(90, 553) = ( 90 x 553 ) / 49770

GCD(90, 553) = 49770 / 49770

GCD(90, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

GCD of 90, 553, 992, 546 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 579, 130, 805
• GCD of 58, 181, 118, 604
• GCD of 92, 127, 875, 959
• GCD of 11, 495, 853, 244
• GCD of 68, 825, 492, 428

1. What is the GCD of 90, 553, 992, 546?

GCD of 90, 553, 992, 546 is 1

2. Where do I get the detailed procedure to find GCD of 90, 553, 992, 546?

You can find a detailed procedure to find GCD of 90, 553, 992, 546 on our page.

3. How to find GCD of 90, 553, 992, 546 on a calculator?

You can find the GCD of 90, 553, 992, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.