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 342, 940, 692, 909 i.e. 1 largest integer that divides all the numbers equally.
GCD of 342, 940, 692, 909 is 1
GCD(342, 940, 692, 909) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 342, 940, 692, 909 is 1
GCD(342, 940, 692, 909) = 1
Given Input numbers are 342, 940, 692, 909
To find the GCD of numbers using factoring list out all the divisors of each number
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 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Greatest Common Divisior
We found the divisors of 342, 940, 692, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 940, 692, 909 is 1.
Therefore, GCD of numbers 342, 940, 692, 909 is 1
Given Input Data is 342, 940, 692, 909
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 909 is 3 x 3 x 101
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(342, 940) = 160740
GCD(342, 940) = ( 342 x 940 ) / 160740
GCD(342, 940) = 321480 / 160740
GCD(342, 940) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 692
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 692) = 692
GCD(2, 692) = ( 2 x 692 ) / 692
GCD(2, 692) = 1384 / 692
GCD(2, 692) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 909
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 909) = 1818
GCD(2, 909) = ( 2 x 909 ) / 1818
GCD(2, 909) = 1818 / 1818
GCD(2, 909) = 1
GCD of 342, 940, 692, 909 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 342, 940, 692, 909?
GCD of 342, 940, 692, 909 is 1
2. Where do I get the detailed procedure to find GCD of 342, 940, 692, 909?
You can find a detailed procedure to find GCD of 342, 940, 692, 909 on our page.
3. How to find GCD of 342, 940, 692, 909 on a calculator?
You can find the GCD of 342, 940, 692, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.