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 402, 548, 955, 356 i.e. 1 largest integer that divides all the numbers equally.
GCD of 402, 548, 955, 356 is 1
GCD(402, 548, 955, 356) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 402, 548, 955, 356 is 1
GCD(402, 548, 955, 356) = 1
Given Input numbers are 402, 548, 955, 356
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Greatest Common Divisior
We found the divisors of 402, 548, 955, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 548, 955, 356 is 1.
Therefore, GCD of numbers 402, 548, 955, 356 is 1
Given Input Data is 402, 548, 955, 356
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 955 is 5 x 191
Prime Factorization of 356 is 2 x 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(402, 548) = 110148
GCD(402, 548) = ( 402 x 548 ) / 110148
GCD(402, 548) = 220296 / 110148
GCD(402, 548) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 955
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 955) = 1910
GCD(2, 955) = ( 2 x 955 ) / 1910
GCD(2, 955) = 1910 / 1910
GCD(2, 955) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 356
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 356) = 356
GCD(1, 356) = ( 1 x 356 ) / 356
GCD(1, 356) = 356 / 356
GCD(1, 356) = 1
GCD of 402, 548, 955, 356 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 402, 548, 955, 356?
GCD of 402, 548, 955, 356 is 1
2. Where do I get the detailed procedure to find GCD of 402, 548, 955, 356?
You can find a detailed procedure to find GCD of 402, 548, 955, 356 on our page.
3. How to find GCD of 402, 548, 955, 356 on a calculator?
You can find the GCD of 402, 548, 955, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.