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, 453, 778, 172 i.e. 1 largest integer that divides all the numbers equally.
GCD of 672, 453, 778, 172 is 1
GCD(672, 453, 778, 172) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 672, 453, 778, 172 is 1
GCD(672, 453, 778, 172) = 1
Given Input numbers are 672, 453, 778, 172
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 453
List of positive integer divisors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Greatest Common Divisior
We found the divisors of 672, 453, 778, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 453, 778, 172 is 1.
Therefore, GCD of numbers 672, 453, 778, 172 is 1
Given Input Data is 672, 453, 778, 172
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 453 is 3 x 151
Prime Factorization of 778 is 2 x 389
Prime Factorization of 172 is 2 x 2 x 43
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, 453) = 101472
GCD(672, 453) = ( 672 x 453 ) / 101472
GCD(672, 453) = 304416 / 101472
GCD(672, 453) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 778) = 2334
GCD(3, 778) = ( 3 x 778 ) / 2334
GCD(3, 778) = 2334 / 2334
GCD(3, 778) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
GCD(1, 172) = 172 / 172
GCD(1, 172) = 1
GCD of 672, 453, 778, 172 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 672, 453, 778, 172?
GCD of 672, 453, 778, 172 is 1
2. Where do I get the detailed procedure to find GCD of 672, 453, 778, 172?
You can find a detailed procedure to find GCD of 672, 453, 778, 172 on our page.
3. How to find GCD of 672, 453, 778, 172 on a calculator?
You can find the GCD of 672, 453, 778, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.