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 154, 396, 57, 701 i.e. 1 largest integer that divides all the numbers equally.
GCD of 154, 396, 57, 701 is 1
GCD(154, 396, 57, 701) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 154, 396, 57, 701 is 1
GCD(154, 396, 57, 701) = 1
Given Input numbers are 154, 396, 57, 701
To find the GCD of numbers using factoring list out all the divisors of each number
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 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Greatest Common Divisior
We found the divisors of 154, 396, 57, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 396, 57, 701 is 1.
Therefore, GCD of numbers 154, 396, 57, 701 is 1
Given Input Data is 154, 396, 57, 701
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 57 is 3 x 19
Prime Factorization of 701 is 701
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(154, 396) = 2772
GCD(154, 396) = ( 154 x 396 ) / 2772
GCD(154, 396) = 60984 / 2772
GCD(154, 396) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 57) = 1254
GCD(22, 57) = ( 22 x 57 ) / 1254
GCD(22, 57) = 1254 / 1254
GCD(22, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 701) = 701
GCD(1, 701) = ( 1 x 701 ) / 701
GCD(1, 701) = 701 / 701
GCD(1, 701) = 1
GCD of 154, 396, 57, 701 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 154, 396, 57, 701?
GCD of 154, 396, 57, 701 is 1
2. Where do I get the detailed procedure to find GCD of 154, 396, 57, 701?
You can find a detailed procedure to find GCD of 154, 396, 57, 701 on our page.
3. How to find GCD of 154, 396, 57, 701 on a calculator?
You can find the GCD of 154, 396, 57, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.