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 308, 354, 659, 984 i.e. 1 largest integer that divides all the numbers equally.
GCD of 308, 354, 659, 984 is 1
GCD(308, 354, 659, 984) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 308, 354, 659, 984 is 1
GCD(308, 354, 659, 984) = 1
Given Input numbers are 308, 354, 659, 984
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Greatest Common Divisior
We found the divisors of 308, 354, 659, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 354, 659, 984 is 1.
Therefore, GCD of numbers 308, 354, 659, 984 is 1
Given Input Data is 308, 354, 659, 984
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 659 is 659
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
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(308, 354) = 54516
GCD(308, 354) = ( 308 x 354 ) / 54516
GCD(308, 354) = 109032 / 54516
GCD(308, 354) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 659
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 659) = 1318
GCD(2, 659) = ( 2 x 659 ) / 1318
GCD(2, 659) = 1318 / 1318
GCD(2, 659) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
GCD(1, 984) = 984 / 984
GCD(1, 984) = 1
GCD of 308, 354, 659, 984 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 308, 354, 659, 984?
GCD of 308, 354, 659, 984 is 1
2. Where do I get the detailed procedure to find GCD of 308, 354, 659, 984?
You can find a detailed procedure to find GCD of 308, 354, 659, 984 on our page.
3. How to find GCD of 308, 354, 659, 984 on a calculator?
You can find the GCD of 308, 354, 659, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.