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 810, 676, 154, 737 i.e. 1 largest integer that divides all the numbers equally.
GCD of 810, 676, 154, 737 is 1
GCD(810, 676, 154, 737) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 810, 676, 154, 737 is 1
GCD(810, 676, 154, 737) = 1
Given Input numbers are 810, 676, 154, 737
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Greatest Common Divisior
We found the divisors of 810, 676, 154, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 676, 154, 737 is 1.
Therefore, GCD of numbers 810, 676, 154, 737 is 1
Given Input Data is 810, 676, 154, 737
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 737 is 11 x 67
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(810, 676) = 273780
GCD(810, 676) = ( 810 x 676 ) / 273780
GCD(810, 676) = 547560 / 273780
GCD(810, 676) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 154
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 154) = 154
GCD(2, 154) = ( 2 x 154 ) / 154
GCD(2, 154) = 308 / 154
GCD(2, 154) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 737) = 1474
GCD(2, 737) = ( 2 x 737 ) / 1474
GCD(2, 737) = 1474 / 1474
GCD(2, 737) = 1
GCD of 810, 676, 154, 737 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 810, 676, 154, 737?
GCD of 810, 676, 154, 737 is 1
2. Where do I get the detailed procedure to find GCD of 810, 676, 154, 737?
You can find a detailed procedure to find GCD of 810, 676, 154, 737 on our page.
3. How to find GCD of 810, 676, 154, 737 on a calculator?
You can find the GCD of 810, 676, 154, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.