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 407, 821, 869, 139 i.e. 1 largest integer that divides all the numbers equally.
GCD of 407, 821, 869, 139 is 1
GCD(407, 821, 869, 139) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 407, 821, 869, 139 is 1
GCD(407, 821, 869, 139) = 1
Given Input numbers are 407, 821, 869, 139
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Divisors of 139
List of positive integer divisors of 139 that divides 139 without a remainder.
1, 139
Greatest Common Divisior
We found the divisors of 407, 821, 869, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 821, 869, 139 is 1.
Therefore, GCD of numbers 407, 821, 869, 139 is 1
Given Input Data is 407, 821, 869, 139
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 407 is 11 x 37
Prime Factorization of 821 is 821
Prime Factorization of 869 is 11 x 79
Prime Factorization of 139 is 139
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(407, 821) = 334147
GCD(407, 821) = ( 407 x 821 ) / 334147
GCD(407, 821) = 334147 / 334147
GCD(407, 821) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 869
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 869) = 869
GCD(1, 869) = ( 1 x 869 ) / 869
GCD(1, 869) = 869 / 869
GCD(1, 869) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 139
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 139) = 139
GCD(1, 139) = ( 1 x 139 ) / 139
GCD(1, 139) = 139 / 139
GCD(1, 139) = 1
GCD of 407, 821, 869, 139 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 407, 821, 869, 139?
GCD of 407, 821, 869, 139 is 1
2. Where do I get the detailed procedure to find GCD of 407, 821, 869, 139?
You can find a detailed procedure to find GCD of 407, 821, 869, 139 on our page.
3. How to find GCD of 407, 821, 869, 139 on a calculator?
You can find the GCD of 407, 821, 869, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.