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 653, 126, 86, 432 i.e. 1 largest integer that divides all the numbers equally.
GCD of 653, 126, 86, 432 is 1
GCD(653, 126, 86, 432) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 653, 126, 86, 432 is 1
GCD(653, 126, 86, 432) = 1
Given Input numbers are 653, 126, 86, 432
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Greatest Common Divisior
We found the divisors of 653, 126, 86, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 126, 86, 432 is 1.
Therefore, GCD of numbers 653, 126, 86, 432 is 1
Given Input Data is 653, 126, 86, 432
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 653 is 653
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 86 is 2 x 43
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
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(653, 126) = 82278
GCD(653, 126) = ( 653 x 126 ) / 82278
GCD(653, 126) = 82278 / 82278
GCD(653, 126) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 86) = 86
GCD(1, 86) = ( 1 x 86 ) / 86
GCD(1, 86) = 86 / 86
GCD(1, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
GCD(1, 432) = 432 / 432
GCD(1, 432) = 1
GCD of 653, 126, 86, 432 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 653, 126, 86, 432?
GCD of 653, 126, 86, 432 is 1
2. Where do I get the detailed procedure to find GCD of 653, 126, 86, 432?
You can find a detailed procedure to find GCD of 653, 126, 86, 432 on our page.
3. How to find GCD of 653, 126, 86, 432 on a calculator?
You can find the GCD of 653, 126, 86, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.