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, 528, 60, 925 i.e. 1 largest integer that divides all the numbers equally.
GCD of 525, 528, 60, 925 is 1
GCD(525, 528, 60, 925) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 525, 528, 60, 925 is 1
GCD(525, 528, 60, 925) = 1
Given Input numbers are 525, 528, 60, 925
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 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Greatest Common Divisior
We found the divisors of 525, 528, 60, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 528, 60, 925 is 1.
Therefore, GCD of numbers 525, 528, 60, 925 is 1
Given Input Data is 525, 528, 60, 925
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 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 925 is 5 x 5 x 37
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, 528) = 92400
GCD(525, 528) = ( 525 x 528 ) / 92400
GCD(525, 528) = 277200 / 92400
GCD(525, 528) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 60) = 60
GCD(3, 60) = ( 3 x 60 ) / 60
GCD(3, 60) = 180 / 60
GCD(3, 60) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 925
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 925) = 2775
GCD(3, 925) = ( 3 x 925 ) / 2775
GCD(3, 925) = 2775 / 2775
GCD(3, 925) = 1
GCD of 525, 528, 60, 925 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 525, 528, 60, 925?
GCD of 525, 528, 60, 925 is 1
2. Where do I get the detailed procedure to find GCD of 525, 528, 60, 925?
You can find a detailed procedure to find GCD of 525, 528, 60, 925 on our page.
3. How to find GCD of 525, 528, 60, 925 on a calculator?
You can find the GCD of 525, 528, 60, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.