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, 807, 162, 821 i.e. 1 largest integer that divides all the numbers equally.
GCD of 672, 807, 162, 821 is 1
GCD(672, 807, 162, 821) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 672, 807, 162, 821 is 1
GCD(672, 807, 162, 821) = 1
Given Input numbers are 672, 807, 162, 821
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 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Greatest Common Divisior
We found the divisors of 672, 807, 162, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 807, 162, 821 is 1.
Therefore, GCD of numbers 672, 807, 162, 821 is 1
Given Input Data is 672, 807, 162, 821
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 807 is 3 x 269
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 821 is 821
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, 807) = 180768
GCD(672, 807) = ( 672 x 807 ) / 180768
GCD(672, 807) = 542304 / 180768
GCD(672, 807) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 162
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 162) = 162
GCD(3, 162) = ( 3 x 162 ) / 162
GCD(3, 162) = 486 / 162
GCD(3, 162) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 821
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 821) = 2463
GCD(3, 821) = ( 3 x 821 ) / 2463
GCD(3, 821) = 2463 / 2463
GCD(3, 821) = 1
GCD of 672, 807, 162, 821 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 672, 807, 162, 821?
GCD of 672, 807, 162, 821 is 1
2. Where do I get the detailed procedure to find GCD of 672, 807, 162, 821?
You can find a detailed procedure to find GCD of 672, 807, 162, 821 on our page.
3. How to find GCD of 672, 807, 162, 821 on a calculator?
You can find the GCD of 672, 807, 162, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.