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 362, 690, 931, 764 i.e. 1 largest integer that divides all the numbers equally.
GCD of 362, 690, 931, 764 is 1
GCD(362, 690, 931, 764) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 362, 690, 931, 764 is 1
GCD(362, 690, 931, 764) = 1
Given Input numbers are 362, 690, 931, 764
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
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
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Greatest Common Divisior
We found the divisors of 362, 690, 931, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 690, 931, 764 is 1.
Therefore, GCD of numbers 362, 690, 931, 764 is 1
Given Input Data is 362, 690, 931, 764
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 362 is 2 x 181
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 764 is 2 x 2 x 191
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(362, 690) = 124890
GCD(362, 690) = ( 362 x 690 ) / 124890
GCD(362, 690) = 249780 / 124890
GCD(362, 690) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 931) = 1862
GCD(2, 931) = ( 2 x 931 ) / 1862
GCD(2, 931) = 1862 / 1862
GCD(2, 931) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
GCD(1, 764) = 764 / 764
GCD(1, 764) = 1
GCD of 362, 690, 931, 764 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 362, 690, 931, 764?
GCD of 362, 690, 931, 764 is 1
2. Where do I get the detailed procedure to find GCD of 362, 690, 931, 764?
You can find a detailed procedure to find GCD of 362, 690, 931, 764 on our page.
3. How to find GCD of 362, 690, 931, 764 on a calculator?
You can find the GCD of 362, 690, 931, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.