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 456, 342, 427, 690 i.e. 1 largest integer that divides all the numbers equally.
GCD of 456, 342, 427, 690 is 1
GCD(456, 342, 427, 690) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 456, 342, 427, 690 is 1
GCD(456, 342, 427, 690) = 1
Given Input numbers are 456, 342, 427, 690
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Greatest Common Divisior
We found the divisors of 456, 342, 427, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 342, 427, 690 is 1.
Therefore, GCD of numbers 456, 342, 427, 690 is 1
Given Input Data is 456, 342, 427, 690
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 427 is 7 x 61
Prime Factorization of 690 is 2 x 3 x 5 x 23
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(456, 342) = 1368
GCD(456, 342) = ( 456 x 342 ) / 1368
GCD(456, 342) = 155952 / 1368
GCD(456, 342) = 114
Step2:
Here we consider the GCD from the above i.e. 114 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(114, 427) = 48678
GCD(114, 427) = ( 114 x 427 ) / 48678
GCD(114, 427) = 48678 / 48678
GCD(114, 427) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 690
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 690) = 690
GCD(1, 690) = ( 1 x 690 ) / 690
GCD(1, 690) = 690 / 690
GCD(1, 690) = 1
GCD of 456, 342, 427, 690 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 456, 342, 427, 690?
GCD of 456, 342, 427, 690 is 1
2. Where do I get the detailed procedure to find GCD of 456, 342, 427, 690?
You can find a detailed procedure to find GCD of 456, 342, 427, 690 on our page.
3. How to find GCD of 456, 342, 427, 690 on a calculator?
You can find the GCD of 456, 342, 427, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.