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, 369, 804, 850 i.e. 1 largest integer that divides all the numbers equally.
GCD of 672, 369, 804, 850 is 1
GCD(672, 369, 804, 850) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 672, 369, 804, 850 is 1
GCD(672, 369, 804, 850) = 1
Given Input numbers are 672, 369, 804, 850
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 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Greatest Common Divisior
We found the divisors of 672, 369, 804, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 369, 804, 850 is 1.
Therefore, GCD of numbers 672, 369, 804, 850 is 1
Given Input Data is 672, 369, 804, 850
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 369 is 3 x 3 x 41
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 850 is 2 x 5 x 5 x 17
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, 369) = 82656
GCD(672, 369) = ( 672 x 369 ) / 82656
GCD(672, 369) = 247968 / 82656
GCD(672, 369) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 804
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 804) = 804
GCD(3, 804) = ( 3 x 804 ) / 804
GCD(3, 804) = 2412 / 804
GCD(3, 804) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 850) = 2550
GCD(3, 850) = ( 3 x 850 ) / 2550
GCD(3, 850) = 2550 / 2550
GCD(3, 850) = 1
GCD of 672, 369, 804, 850 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 672, 369, 804, 850?
GCD of 672, 369, 804, 850 is 1
2. Where do I get the detailed procedure to find GCD of 672, 369, 804, 850?
You can find a detailed procedure to find GCD of 672, 369, 804, 850 on our page.
3. How to find GCD of 672, 369, 804, 850 on a calculator?
You can find the GCD of 672, 369, 804, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.