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 554, 900, 39, 134 i.e. 1 largest integer that divides all the numbers equally.
GCD of 554, 900, 39, 134 is 1
GCD(554, 900, 39, 134) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 554, 900, 39, 134 is 1
GCD(554, 900, 39, 134) = 1
Given Input numbers are 554, 900, 39, 134
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Greatest Common Divisior
We found the divisors of 554, 900, 39, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 554, 900, 39, 134 is 1.
Therefore, GCD of numbers 554, 900, 39, 134 is 1
Given Input Data is 554, 900, 39, 134
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 554 is 2 x 277
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 39 is 3 x 13
Prime Factorization of 134 is 2 x 67
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(554, 900) = 249300
GCD(554, 900) = ( 554 x 900 ) / 249300
GCD(554, 900) = 498600 / 249300
GCD(554, 900) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 39) = 78
GCD(2, 39) = ( 2 x 39 ) / 78
GCD(2, 39) = 78 / 78
GCD(2, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 134
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 134) = 134
GCD(1, 134) = ( 1 x 134 ) / 134
GCD(1, 134) = 134 / 134
GCD(1, 134) = 1
GCD of 554, 900, 39, 134 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 554, 900, 39, 134?
GCD of 554, 900, 39, 134 is 1
2. Where do I get the detailed procedure to find GCD of 554, 900, 39, 134?
You can find a detailed procedure to find GCD of 554, 900, 39, 134 on our page.
3. How to find GCD of 554, 900, 39, 134 on a calculator?
You can find the GCD of 554, 900, 39, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.