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 525, 100, 25, 476 i.e. 1 largest integer that divides all the numbers equally.
GCD of 525, 100, 25, 476 is 1
GCD(525, 100, 25, 476) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 525, 100, 25, 476 is 1
GCD(525, 100, 25, 476) = 1
Given Input numbers are 525, 100, 25, 476
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Greatest Common Divisior
We found the divisors of 525, 100, 25, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 100, 25, 476 is 1.
Therefore, GCD of numbers 525, 100, 25, 476 is 1
Given Input Data is 525, 100, 25, 476
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 25 is 5 x 5
Prime Factorization of 476 is 2 x 2 x 7 x 17
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(525, 100) = 2100
GCD(525, 100) = ( 525 x 100 ) / 2100
GCD(525, 100) = 52500 / 2100
GCD(525, 100) = 25
Step2:
Here we consider the GCD from the above i.e. 25 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(25, 25) = 25
GCD(25, 25) = ( 25 x 25 ) / 25
GCD(25, 25) = 625 / 25
GCD(25, 25) = 25
Step3:
Here we consider the GCD from the above i.e. 25 as first number and the next as 476
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(25, 476) = 11900
GCD(25, 476) = ( 25 x 476 ) / 11900
GCD(25, 476) = 11900 / 11900
GCD(25, 476) = 1
GCD of 525, 100, 25, 476 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 525, 100, 25, 476?
GCD of 525, 100, 25, 476 is 1
2. Where do I get the detailed procedure to find GCD of 525, 100, 25, 476?
You can find a detailed procedure to find GCD of 525, 100, 25, 476 on our page.
3. How to find GCD of 525, 100, 25, 476 on a calculator?
You can find the GCD of 525, 100, 25, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.