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 977, 642, 29, 229 i.e. 1 largest integer that divides all the numbers equally.
GCD of 977, 642, 29, 229 is 1
GCD(977, 642, 29, 229) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 977, 642, 29, 229 is 1
GCD(977, 642, 29, 229) = 1
Given Input numbers are 977, 642, 29, 229
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Greatest Common Divisior
We found the divisors of 977, 642, 29, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 642, 29, 229 is 1.
Therefore, GCD of numbers 977, 642, 29, 229 is 1
Given Input Data is 977, 642, 29, 229
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 977 is 977
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 29 is 29
Prime Factorization of 229 is 229
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(977, 642) = 627234
GCD(977, 642) = ( 977 x 642 ) / 627234
GCD(977, 642) = 627234 / 627234
GCD(977, 642) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 29) = 29
GCD(1, 29) = ( 1 x 29 ) / 29
GCD(1, 29) = 29 / 29
GCD(1, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 229
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 229) = 229
GCD(1, 229) = ( 1 x 229 ) / 229
GCD(1, 229) = 229 / 229
GCD(1, 229) = 1
GCD of 977, 642, 29, 229 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 977, 642, 29, 229?
GCD of 977, 642, 29, 229 is 1
2. Where do I get the detailed procedure to find GCD of 977, 642, 29, 229?
You can find a detailed procedure to find GCD of 977, 642, 29, 229 on our page.
3. How to find GCD of 977, 642, 29, 229 on a calculator?
You can find the GCD of 977, 642, 29, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.