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 420, 925, 551, 152 i.e. 1 largest integer that divides all the numbers equally.
GCD of 420, 925, 551, 152 is 1
GCD(420, 925, 551, 152) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 420, 925, 551, 152 is 1
GCD(420, 925, 551, 152) = 1
Given Input numbers are 420, 925, 551, 152
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Greatest Common Divisior
We found the divisors of 420, 925, 551, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 925, 551, 152 is 1.
Therefore, GCD of numbers 420, 925, 551, 152 is 1
Given Input Data is 420, 925, 551, 152
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 925 is 5 x 5 x 37
Prime Factorization of 551 is 19 x 29
Prime Factorization of 152 is 2 x 2 x 2 x 19
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(420, 925) = 77700
GCD(420, 925) = ( 420 x 925 ) / 77700
GCD(420, 925) = 388500 / 77700
GCD(420, 925) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 551
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 551) = 2755
GCD(5, 551) = ( 5 x 551 ) / 2755
GCD(5, 551) = 2755 / 2755
GCD(5, 551) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
GCD(1, 152) = 152 / 152
GCD(1, 152) = 1
GCD of 420, 925, 551, 152 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 420, 925, 551, 152?
GCD of 420, 925, 551, 152 is 1
2. Where do I get the detailed procedure to find GCD of 420, 925, 551, 152?
You can find a detailed procedure to find GCD of 420, 925, 551, 152 on our page.
3. How to find GCD of 420, 925, 551, 152 on a calculator?
You can find the GCD of 420, 925, 551, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.