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 177, 970, 29, 178 i.e. 1 largest integer that divides all the numbers equally.
GCD of 177, 970, 29, 178 is 1
GCD(177, 970, 29, 178) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 177, 970, 29, 178 is 1
GCD(177, 970, 29, 178) = 1
Given Input numbers are 177, 970, 29, 178
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Greatest Common Divisior
We found the divisors of 177, 970, 29, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 970, 29, 178 is 1.
Therefore, GCD of numbers 177, 970, 29, 178 is 1
Given Input Data is 177, 970, 29, 178
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 177 is 3 x 59
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 29 is 29
Prime Factorization of 178 is 2 x 89
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(177, 970) = 171690
GCD(177, 970) = ( 177 x 970 ) / 171690
GCD(177, 970) = 171690 / 171690
GCD(177, 970) = 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 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
GCD of 177, 970, 29, 178 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 177, 970, 29, 178?
GCD of 177, 970, 29, 178 is 1
2. Where do I get the detailed procedure to find GCD of 177, 970, 29, 178?
You can find a detailed procedure to find GCD of 177, 970, 29, 178 on our page.
3. How to find GCD of 177, 970, 29, 178 on a calculator?
You can find the GCD of 177, 970, 29, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.