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 172, 672, 133, 883 i.e. 1 largest integer that divides all the numbers equally.
GCD of 172, 672, 133, 883 is 1
GCD(172, 672, 133, 883) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 172, 672, 133, 883 is 1
GCD(172, 672, 133, 883) = 1
Given Input numbers are 172, 672, 133, 883
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
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 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 883
List of positive integer divisors of 883 that divides 883 without a remainder.
1, 883
Greatest Common Divisior
We found the divisors of 172, 672, 133, 883 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 672, 133, 883 is 1.
Therefore, GCD of numbers 172, 672, 133, 883 is 1
Given Input Data is 172, 672, 133, 883
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 133 is 7 x 19
Prime Factorization of 883 is 883
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(172, 672) = 28896
GCD(172, 672) = ( 172 x 672 ) / 28896
GCD(172, 672) = 115584 / 28896
GCD(172, 672) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 133) = 532
GCD(4, 133) = ( 4 x 133 ) / 532
GCD(4, 133) = 532 / 532
GCD(4, 133) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 883
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 883) = 883
GCD(1, 883) = ( 1 x 883 ) / 883
GCD(1, 883) = 883 / 883
GCD(1, 883) = 1
GCD of 172, 672, 133, 883 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 172, 672, 133, 883?
GCD of 172, 672, 133, 883 is 1
2. Where do I get the detailed procedure to find GCD of 172, 672, 133, 883?
You can find a detailed procedure to find GCD of 172, 672, 133, 883 on our page.
3. How to find GCD of 172, 672, 133, 883 on a calculator?
You can find the GCD of 172, 672, 133, 883 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.