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 858, 654, 722, 436 i.e. 2 largest integer that divides all the numbers equally.
GCD of 858, 654, 722, 436 is 2
GCD(858, 654, 722, 436) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 858, 654, 722, 436 is 2
GCD(858, 654, 722, 436) = 2
Given Input numbers are 858, 654, 722, 436
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Greatest Common Divisior
We found the divisors of 858, 654, 722, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 654, 722, 436 is 2.
Therefore, GCD of numbers 858, 654, 722, 436 is 2
Given Input Data is 858, 654, 722, 436
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 858 is 2 x 3 x 11 x 13
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 436 is 2 x 2 x 109
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(858, 654) = 93522
GCD(858, 654) = ( 858 x 654 ) / 93522
GCD(858, 654) = 561132 / 93522
GCD(858, 654) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 722
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 722) = 2166
GCD(6, 722) = ( 6 x 722 ) / 2166
GCD(6, 722) = 4332 / 2166
GCD(6, 722) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 436
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 436) = 436
GCD(2, 436) = ( 2 x 436 ) / 436
GCD(2, 436) = 872 / 436
GCD(2, 436) = 2
GCD of 858, 654, 722, 436 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 858, 654, 722, 436?
GCD of 858, 654, 722, 436 is 2
2. Where do I get the detailed procedure to find GCD of 858, 654, 722, 436?
You can find a detailed procedure to find GCD of 858, 654, 722, 436 on our page.
3. How to find GCD of 858, 654, 722, 436 on a calculator?
You can find the GCD of 858, 654, 722, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.