GCD of 961, 770, 54 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 961, 770, 54 i.e. 1 largest integer that divides all the numbers equally.

GCD of 961, 770, 54 is 1

GCD(961, 770, 54) = 1

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

GCD of

GCD of numbers 961, 770, 54 is 1

GCD(961, 770, 54) = 1

GCD of 961,770,54 Calculator

GCDof 961,770,54 is 1

Given Input numbers are 961, 770, 54

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

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Greatest Common Divisior

We found the divisors of 961, 770, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 770, 54 is 1.

Therefore, GCD of numbers 961, 770, 54 is 1

Finding GCD of 961, 770, 54 using Prime Factorization

Given Input Data is 961, 770, 54

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 54 is 2 x 3 x 3 x 3

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

Finding GCD of 961, 770, 54 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(961, 770) = 739970

GCD(961, 770) = ( 961 x 770 ) / 739970

GCD(961, 770) = 739970 / 739970

GCD(961, 770) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

GCD of 961, 770, 54 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 961, 770, 54

1. What is the GCD of 961, 770, 54?

GCD of 961, 770, 54 is 1


2. Where do I get the detailed procedure to find GCD of 961, 770, 54?

You can find a detailed procedure to find GCD of 961, 770, 54 on our page.


3. How to find GCD of 961, 770, 54 on a calculator?

You can find the GCD of 961, 770, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.