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 34, 156, 869, 532 i.e. 1 largest integer that divides all the numbers equally.
GCD of 34, 156, 869, 532 is 1
GCD(34, 156, 869, 532) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 34, 156, 869, 532 is 1
GCD(34, 156, 869, 532) = 1
Given Input numbers are 34, 156, 869, 532
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Greatest Common Divisior
We found the divisors of 34, 156, 869, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 156, 869, 532 is 1.
Therefore, GCD of numbers 34, 156, 869, 532 is 1
Given Input Data is 34, 156, 869, 532
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 34 is 2 x 17
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 869 is 11 x 79
Prime Factorization of 532 is 2 x 2 x 7 x 19
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(34, 156) = 2652
GCD(34, 156) = ( 34 x 156 ) / 2652
GCD(34, 156) = 5304 / 2652
GCD(34, 156) = 2
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 532
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 532) = 532
GCD(1, 532) = ( 1 x 532 ) / 532
GCD(1, 532) = 532 / 532
GCD(1, 532) = 1
GCD of 34, 156, 869, 532 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 34, 156, 869, 532?
GCD of 34, 156, 869, 532 is 1
2. Where do I get the detailed procedure to find GCD of 34, 156, 869, 532?
You can find a detailed procedure to find GCD of 34, 156, 869, 532 on our page.
3. How to find GCD of 34, 156, 869, 532 on a calculator?
You can find the GCD of 34, 156, 869, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.