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, 334, 46, 257 i.e. 1 largest integer that divides all the numbers equally.
GCD of 177, 334, 46, 257 is 1
GCD(177, 334, 46, 257) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 177, 334, 46, 257 is 1
GCD(177, 334, 46, 257) = 1
Given Input numbers are 177, 334, 46, 257
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 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 257
List of positive integer divisors of 257 that divides 257 without a remainder.
1, 257
Greatest Common Divisior
We found the divisors of 177, 334, 46, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 334, 46, 257 is 1.
Therefore, GCD of numbers 177, 334, 46, 257 is 1
Given Input Data is 177, 334, 46, 257
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 177 is 3 x 59
Prime Factorization of 334 is 2 x 167
Prime Factorization of 46 is 2 x 23
Prime Factorization of 257 is 257
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, 334) = 59118
GCD(177, 334) = ( 177 x 334 ) / 59118
GCD(177, 334) = 59118 / 59118
GCD(177, 334) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 257
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 257) = 257
GCD(1, 257) = ( 1 x 257 ) / 257
GCD(1, 257) = 257 / 257
GCD(1, 257) = 1
GCD of 177, 334, 46, 257 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 177, 334, 46, 257?
GCD of 177, 334, 46, 257 is 1
2. Where do I get the detailed procedure to find GCD of 177, 334, 46, 257?
You can find a detailed procedure to find GCD of 177, 334, 46, 257 on our page.
3. How to find GCD of 177, 334, 46, 257 on a calculator?
You can find the GCD of 177, 334, 46, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.