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 426, 153, 807, 855 i.e. 3 largest integer that divides all the numbers equally.
GCD of 426, 153, 807, 855 is 3
GCD(426, 153, 807, 855) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 426, 153, 807, 855 is 3
GCD(426, 153, 807, 855) = 3
Given Input numbers are 426, 153, 807, 855
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Greatest Common Divisior
We found the divisors of 426, 153, 807, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 153, 807, 855 is 3.
Therefore, GCD of numbers 426, 153, 807, 855 is 3
Given Input Data is 426, 153, 807, 855
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 807 is 3 x 269
Prime Factorization of 855 is 3 x 3 x 5 x 19
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(426, 153) = 21726
GCD(426, 153) = ( 426 x 153 ) / 21726
GCD(426, 153) = 65178 / 21726
GCD(426, 153) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 807
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 807) = 807
GCD(3, 807) = ( 3 x 807 ) / 807
GCD(3, 807) = 2421 / 807
GCD(3, 807) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 855
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 855) = 855
GCD(3, 855) = ( 3 x 855 ) / 855
GCD(3, 855) = 2565 / 855
GCD(3, 855) = 3
GCD of 426, 153, 807, 855 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 426, 153, 807, 855?
GCD of 426, 153, 807, 855 is 3
2. Where do I get the detailed procedure to find GCD of 426, 153, 807, 855?
You can find a detailed procedure to find GCD of 426, 153, 807, 855 on our page.
3. How to find GCD of 426, 153, 807, 855 on a calculator?
You can find the GCD of 426, 153, 807, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.