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 numbers 961, 770, 54 is 1
GCD(961, 770, 54) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.