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 672, 437, 355, 106 i.e. 1 largest integer that divides all the numbers equally.
GCD of 672, 437, 355, 106 is 1
GCD(672, 437, 355, 106) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 672, 437, 355, 106 is 1
GCD(672, 437, 355, 106) = 1
Given Input numbers are 672, 437, 355, 106
To find the GCD of numbers using factoring list out all the divisors of each number
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 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Greatest Common Divisior
We found the divisors of 672, 437, 355, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 437, 355, 106 is 1.
Therefore, GCD of numbers 672, 437, 355, 106 is 1
Given Input Data is 672, 437, 355, 106
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 437 is 19 x 23
Prime Factorization of 355 is 5 x 71
Prime Factorization of 106 is 2 x 53
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(672, 437) = 293664
GCD(672, 437) = ( 672 x 437 ) / 293664
GCD(672, 437) = 293664 / 293664
GCD(672, 437) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 355
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
GCD(1, 355) = 355 / 355
GCD(1, 355) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
GCD(1, 106) = 106 / 106
GCD(1, 106) = 1
GCD of 672, 437, 355, 106 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 672, 437, 355, 106?
GCD of 672, 437, 355, 106 is 1
2. Where do I get the detailed procedure to find GCD of 672, 437, 355, 106?
You can find a detailed procedure to find GCD of 672, 437, 355, 106 on our page.
3. How to find GCD of 672, 437, 355, 106 on a calculator?
You can find the GCD of 672, 437, 355, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.