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 625, 554, 124, 149 i.e. 1 largest integer that divides all the numbers equally.
GCD of 625, 554, 124, 149 is 1
GCD(625, 554, 124, 149) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 625, 554, 124, 149 is 1
GCD(625, 554, 124, 149) = 1
Given Input numbers are 625, 554, 124, 149
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Greatest Common Divisior
We found the divisors of 625, 554, 124, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 554, 124, 149 is 1.
Therefore, GCD of numbers 625, 554, 124, 149 is 1
Given Input Data is 625, 554, 124, 149
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 554 is 2 x 277
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 149 is 149
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(625, 554) = 346250
GCD(625, 554) = ( 625 x 554 ) / 346250
GCD(625, 554) = 346250 / 346250
GCD(625, 554) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 124
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 124) = 124
GCD(1, 124) = ( 1 x 124 ) / 124
GCD(1, 124) = 124 / 124
GCD(1, 124) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
GCD(1, 149) = 149 / 149
GCD(1, 149) = 1
GCD of 625, 554, 124, 149 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 625, 554, 124, 149?
GCD of 625, 554, 124, 149 is 1
2. Where do I get the detailed procedure to find GCD of 625, 554, 124, 149?
You can find a detailed procedure to find GCD of 625, 554, 124, 149 on our page.
3. How to find GCD of 625, 554, 124, 149 on a calculator?
You can find the GCD of 625, 554, 124, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.