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 54, 770, 137, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 54, 770, 137, 777 is 1
GCD(54, 770, 137, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 54, 770, 137, 777 is 1
GCD(54, 770, 137, 777) = 1
Given Input numbers are 54, 770, 137, 777
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
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 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 54, 770, 137, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 770, 137, 777 is 1.
Therefore, GCD of numbers 54, 770, 137, 777 is 1
Given Input Data is 54, 770, 137, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 137 is 137
Prime Factorization of 777 is 3 x 7 x 37
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(54, 770) = 20790
GCD(54, 770) = ( 54 x 770 ) / 20790
GCD(54, 770) = 41580 / 20790
GCD(54, 770) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 137) = 274
GCD(2, 137) = ( 2 x 137 ) / 274
GCD(2, 137) = 274 / 274
GCD(2, 137) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 777) = 777
GCD(1, 777) = ( 1 x 777 ) / 777
GCD(1, 777) = 777 / 777
GCD(1, 777) = 1
GCD of 54, 770, 137, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 54, 770, 137, 777?
GCD of 54, 770, 137, 777 is 1
2. Where do I get the detailed procedure to find GCD of 54, 770, 137, 777?
You can find a detailed procedure to find GCD of 54, 770, 137, 777 on our page.
3. How to find GCD of 54, 770, 137, 777 on a calculator?
You can find the GCD of 54, 770, 137, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.