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 372, 470, 654, 869 i.e. 1 largest integer that divides all the numbers equally.
GCD of 372, 470, 654, 869 is 1
GCD(372, 470, 654, 869) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 372, 470, 654, 869 is 1
GCD(372, 470, 654, 869) = 1
Given Input numbers are 372, 470, 654, 869
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Greatest Common Divisior
We found the divisors of 372, 470, 654, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 470, 654, 869 is 1.
Therefore, GCD of numbers 372, 470, 654, 869 is 1
Given Input Data is 372, 470, 654, 869
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 869 is 11 x 79
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(372, 470) = 87420
GCD(372, 470) = ( 372 x 470 ) / 87420
GCD(372, 470) = 174840 / 87420
GCD(372, 470) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 654
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 654) = 654
GCD(2, 654) = ( 2 x 654 ) / 654
GCD(2, 654) = 1308 / 654
GCD(2, 654) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 869
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 869) = 1738
GCD(2, 869) = ( 2 x 869 ) / 1738
GCD(2, 869) = 1738 / 1738
GCD(2, 869) = 1
GCD of 372, 470, 654, 869 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 372, 470, 654, 869?
GCD of 372, 470, 654, 869 is 1
2. Where do I get the detailed procedure to find GCD of 372, 470, 654, 869?
You can find a detailed procedure to find GCD of 372, 470, 654, 869 on our page.
3. How to find GCD of 372, 470, 654, 869 on a calculator?
You can find the GCD of 372, 470, 654, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.