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 152, 233, 672, 338 i.e. 1 largest integer that divides all the numbers equally.
GCD of 152, 233, 672, 338 is 1
GCD(152, 233, 672, 338) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 152, 233, 672, 338 is 1
GCD(152, 233, 672, 338) = 1
Given Input numbers are 152, 233, 672, 338
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 233
List of positive integer divisors of 233 that divides 233 without a remainder.
1, 233
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Greatest Common Divisior
We found the divisors of 152, 233, 672, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 233, 672, 338 is 1.
Therefore, GCD of numbers 152, 233, 672, 338 is 1
Given Input Data is 152, 233, 672, 338
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 233 is 233
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 338 is 2 x 13 x 13
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(152, 233) = 35416
GCD(152, 233) = ( 152 x 233 ) / 35416
GCD(152, 233) = 35416 / 35416
GCD(152, 233) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 672
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 672) = 672
GCD(1, 672) = ( 1 x 672 ) / 672
GCD(1, 672) = 672 / 672
GCD(1, 672) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 338
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
GCD(1, 338) = 338 / 338
GCD(1, 338) = 1
GCD of 152, 233, 672, 338 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 152, 233, 672, 338?
GCD of 152, 233, 672, 338 is 1
2. Where do I get the detailed procedure to find GCD of 152, 233, 672, 338?
You can find a detailed procedure to find GCD of 152, 233, 672, 338 on our page.
3. How to find GCD of 152, 233, 672, 338 on a calculator?
You can find the GCD of 152, 233, 672, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.