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, 553, 95, 400 i.e. 1 largest integer that divides all the numbers equally.
GCD of 436, 553, 95, 400 is 1
GCD(436, 553, 95, 400) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 436, 553, 95, 400 is 1
GCD(436, 553, 95, 400) = 1
Given Input numbers are 436, 553, 95, 400
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 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Greatest Common Divisior
We found the divisors of 436, 553, 95, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 553, 95, 400 is 1.
Therefore, GCD of numbers 436, 553, 95, 400 is 1
Given Input Data is 436, 553, 95, 400
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 553 is 7 x 79
Prime Factorization of 95 is 5 x 19
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
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, 553) = 241108
GCD(436, 553) = ( 436 x 553 ) / 241108
GCD(436, 553) = 241108 / 241108
GCD(436, 553) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 95) = 95
GCD(1, 95) = ( 1 x 95 ) / 95
GCD(1, 95) = 95 / 95
GCD(1, 95) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
GCD(1, 400) = 400 / 400
GCD(1, 400) = 1
GCD of 436, 553, 95, 400 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 436, 553, 95, 400?
GCD of 436, 553, 95, 400 is 1
2. Where do I get the detailed procedure to find GCD of 436, 553, 95, 400?
You can find a detailed procedure to find GCD of 436, 553, 95, 400 on our page.
3. How to find GCD of 436, 553, 95, 400 on a calculator?
You can find the GCD of 436, 553, 95, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.