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, 465, 92, 278 i.e. 1 largest integer that divides all the numbers equally.
GCD of 177, 465, 92, 278 is 1
GCD(177, 465, 92, 278) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 177, 465, 92, 278 is 1
GCD(177, 465, 92, 278) = 1
Given Input numbers are 177, 465, 92, 278
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 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Greatest Common Divisior
We found the divisors of 177, 465, 92, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 465, 92, 278 is 1.
Therefore, GCD of numbers 177, 465, 92, 278 is 1
Given Input Data is 177, 465, 92, 278
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 177 is 3 x 59
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 278 is 2 x 139
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, 465) = 27435
GCD(177, 465) = ( 177 x 465 ) / 27435
GCD(177, 465) = 82305 / 27435
GCD(177, 465) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 92) = 276
GCD(3, 92) = ( 3 x 92 ) / 276
GCD(3, 92) = 276 / 276
GCD(3, 92) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 278) = 278
GCD(1, 278) = ( 1 x 278 ) / 278
GCD(1, 278) = 278 / 278
GCD(1, 278) = 1
GCD of 177, 465, 92, 278 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 177, 465, 92, 278?
GCD of 177, 465, 92, 278 is 1
2. Where do I get the detailed procedure to find GCD of 177, 465, 92, 278?
You can find a detailed procedure to find GCD of 177, 465, 92, 278 on our page.
3. How to find GCD of 177, 465, 92, 278 on a calculator?
You can find the GCD of 177, 465, 92, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.