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 436, 138, 840, 547 i.e. 1 largest integer that divides all the numbers equally.
GCD of 436, 138, 840, 547 is 1
GCD(436, 138, 840, 547) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 436, 138, 840, 547 is 1
GCD(436, 138, 840, 547) = 1
Given Input numbers are 436, 138, 840, 547
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 547
List of positive integer divisors of 547 that divides 547 without a remainder.
1, 547
Greatest Common Divisior
We found the divisors of 436, 138, 840, 547 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 138, 840, 547 is 1.
Therefore, GCD of numbers 436, 138, 840, 547 is 1
Given Input Data is 436, 138, 840, 547
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 547 is 547
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(436, 138) = 30084
GCD(436, 138) = ( 436 x 138 ) / 30084
GCD(436, 138) = 60168 / 30084
GCD(436, 138) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 840
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 840) = 840
GCD(2, 840) = ( 2 x 840 ) / 840
GCD(2, 840) = 1680 / 840
GCD(2, 840) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 547
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 547) = 1094
GCD(2, 547) = ( 2 x 547 ) / 1094
GCD(2, 547) = 1094 / 1094
GCD(2, 547) = 1
GCD of 436, 138, 840, 547 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 436, 138, 840, 547?
GCD of 436, 138, 840, 547 is 1
2. Where do I get the detailed procedure to find GCD of 436, 138, 840, 547?
You can find a detailed procedure to find GCD of 436, 138, 840, 547 on our page.
3. How to find GCD of 436, 138, 840, 547 on a calculator?
You can find the GCD of 436, 138, 840, 547 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.