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, 142, 117, 121 i.e. 1 largest integer that divides all the numbers equally.
GCD of 525, 142, 117, 121 is 1
GCD(525, 142, 117, 121) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 525, 142, 117, 121 is 1
GCD(525, 142, 117, 121) = 1
Given Input numbers are 525, 142, 117, 121
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 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Greatest Common Divisior
We found the divisors of 525, 142, 117, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 142, 117, 121 is 1.
Therefore, GCD of numbers 525, 142, 117, 121 is 1
Given Input Data is 525, 142, 117, 121
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 142 is 2 x 71
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 121 is 11 x 11
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, 142) = 74550
GCD(525, 142) = ( 525 x 142 ) / 74550
GCD(525, 142) = 74550 / 74550
GCD(525, 142) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
GCD(1, 117) = 117 / 117
GCD(1, 117) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 121) = 121
GCD(1, 121) = ( 1 x 121 ) / 121
GCD(1, 121) = 121 / 121
GCD(1, 121) = 1
GCD of 525, 142, 117, 121 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 525, 142, 117, 121?
GCD of 525, 142, 117, 121 is 1
2. Where do I get the detailed procedure to find GCD of 525, 142, 117, 121?
You can find a detailed procedure to find GCD of 525, 142, 117, 121 on our page.
3. How to find GCD of 525, 142, 117, 121 on a calculator?
You can find the GCD of 525, 142, 117, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.