GCD of 553, 952, 962, 792 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 553, 952, 962, 792 i.e. 1 largest integer that divides all the numbers equally.

GCD of 553, 952, 962, 792 is 1

GCD(553, 952, 962, 792) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 553, 952, 962, 792 is 1

GCD(553, 952, 962, 792) = 1

GCD of 553,952,962,792 Calculator

GCDof 553,952,962,792 is 1

Given Input numbers are 553, 952, 962, 792

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 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Greatest Common Divisior

We found the divisors of 553, 952, 962, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 952, 962, 792 is 1.

Therefore, GCD of numbers 553, 952, 962, 792 is 1

Finding GCD of 553, 952, 962, 792 using Prime Factorization

Given Input Data is 553, 952, 962, 792

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 553, 952, 962, 792 using LCM Formula

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, 952) = 75208

GCD(553, 952) = ( 553 x 952 ) / 75208

GCD(553, 952) = 526456 / 75208

GCD(553, 952) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 962

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

LCM(7, 962) = 6734

GCD(7, 962) = ( 7 x 962 ) / 6734

GCD(7, 962) = 6734 / 6734

GCD(7, 962) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 792

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

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

GCD(1, 792) = 792 / 792

GCD(1, 792) = 1

GCD of 553, 952, 962, 792 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 553, 952, 962, 792

1. What is the GCD of 553, 952, 962, 792?

GCD of 553, 952, 962, 792 is 1


2. Where do I get the detailed procedure to find GCD of 553, 952, 962, 792?

You can find a detailed procedure to find GCD of 553, 952, 962, 792 on our page.


3. How to find GCD of 553, 952, 962, 792 on a calculator?

You can find the GCD of 553, 952, 962, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.