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 428, 692, 664, 363 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 692, 664, 363 is 1
GCD(428, 692, 664, 363) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 692, 664, 363 is 1
GCD(428, 692, 664, 363) = 1
Given Input numbers are 428, 692, 664, 363
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Greatest Common Divisior
We found the divisors of 428, 692, 664, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 692, 664, 363 is 1.
Therefore, GCD of numbers 428, 692, 664, 363 is 1
Given Input Data is 428, 692, 664, 363
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 363 is 3 x 11 x 11
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(428, 692) = 74044
GCD(428, 692) = ( 428 x 692 ) / 74044
GCD(428, 692) = 296176 / 74044
GCD(428, 692) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 664
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 664) = 664
GCD(4, 664) = ( 4 x 664 ) / 664
GCD(4, 664) = 2656 / 664
GCD(4, 664) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 363
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 363) = 1452
GCD(4, 363) = ( 4 x 363 ) / 1452
GCD(4, 363) = 1452 / 1452
GCD(4, 363) = 1
GCD of 428, 692, 664, 363 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 692, 664, 363?
GCD of 428, 692, 664, 363 is 1
2. Where do I get the detailed procedure to find GCD of 428, 692, 664, 363?
You can find a detailed procedure to find GCD of 428, 692, 664, 363 on our page.
3. How to find GCD of 428, 692, 664, 363 on a calculator?
You can find the GCD of 428, 692, 664, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.