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 219, 336, 677, 354 i.e. 1 largest integer that divides all the numbers equally.
GCD of 219, 336, 677, 354 is 1
GCD(219, 336, 677, 354) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 219, 336, 677, 354 is 1
GCD(219, 336, 677, 354) = 1
Given Input numbers are 219, 336, 677, 354
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 219
List of positive integer divisors of 219 that divides 219 without a remainder.
1, 3, 73, 219
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Greatest Common Divisior
We found the divisors of 219, 336, 677, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 336, 677, 354 is 1.
Therefore, GCD of numbers 219, 336, 677, 354 is 1
Given Input Data is 219, 336, 677, 354
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 219 is 3 x 73
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 677 is 677
Prime Factorization of 354 is 2 x 3 x 59
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(219, 336) = 24528
GCD(219, 336) = ( 219 x 336 ) / 24528
GCD(219, 336) = 73584 / 24528
GCD(219, 336) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 677) = 2031
GCD(3, 677) = ( 3 x 677 ) / 2031
GCD(3, 677) = 2031 / 2031
GCD(3, 677) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 354
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 354) = 354
GCD(1, 354) = ( 1 x 354 ) / 354
GCD(1, 354) = 354 / 354
GCD(1, 354) = 1
GCD of 219, 336, 677, 354 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 219, 336, 677, 354?
GCD of 219, 336, 677, 354 is 1
2. Where do I get the detailed procedure to find GCD of 219, 336, 677, 354?
You can find a detailed procedure to find GCD of 219, 336, 677, 354 on our page.
3. How to find GCD of 219, 336, 677, 354 on a calculator?
You can find the GCD of 219, 336, 677, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.