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 156, 675, 86, 435 i.e. 1 largest integer that divides all the numbers equally.
GCD of 156, 675, 86, 435 is 1
GCD(156, 675, 86, 435) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 156, 675, 86, 435 is 1
GCD(156, 675, 86, 435) = 1
Given Input numbers are 156, 675, 86, 435
To find the GCD of numbers using factoring list out all the divisors of each number
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 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Greatest Common Divisior
We found the divisors of 156, 675, 86, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 675, 86, 435 is 1.
Therefore, GCD of numbers 156, 675, 86, 435 is 1
Given Input Data is 156, 675, 86, 435
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 86 is 2 x 43
Prime Factorization of 435 is 3 x 5 x 29
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(156, 675) = 35100
GCD(156, 675) = ( 156 x 675 ) / 35100
GCD(156, 675) = 105300 / 35100
GCD(156, 675) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 86) = 258
GCD(3, 86) = ( 3 x 86 ) / 258
GCD(3, 86) = 258 / 258
GCD(3, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 435) = 435
GCD(1, 435) = ( 1 x 435 ) / 435
GCD(1, 435) = 435 / 435
GCD(1, 435) = 1
GCD of 156, 675, 86, 435 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 156, 675, 86, 435?
GCD of 156, 675, 86, 435 is 1
2. Where do I get the detailed procedure to find GCD of 156, 675, 86, 435?
You can find a detailed procedure to find GCD of 156, 675, 86, 435 on our page.
3. How to find GCD of 156, 675, 86, 435 on a calculator?
You can find the GCD of 156, 675, 86, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.