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 950, 172, 525, 491 i.e. 1 largest integer that divides all the numbers equally.
GCD of 950, 172, 525, 491 is 1
GCD(950, 172, 525, 491) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 950, 172, 525, 491 is 1
GCD(950, 172, 525, 491) = 1
Given Input numbers are 950, 172, 525, 491
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
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 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Greatest Common Divisior
We found the divisors of 950, 172, 525, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 950, 172, 525, 491 is 1.
Therefore, GCD of numbers 950, 172, 525, 491 is 1
Given Input Data is 950, 172, 525, 491
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 491 is 491
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(950, 172) = 81700
GCD(950, 172) = ( 950 x 172 ) / 81700
GCD(950, 172) = 163400 / 81700
GCD(950, 172) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 525
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 525) = 1050
GCD(2, 525) = ( 2 x 525 ) / 1050
GCD(2, 525) = 1050 / 1050
GCD(2, 525) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 491) = 491
GCD(1, 491) = ( 1 x 491 ) / 491
GCD(1, 491) = 491 / 491
GCD(1, 491) = 1
GCD of 950, 172, 525, 491 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 950, 172, 525, 491?
GCD of 950, 172, 525, 491 is 1
2. Where do I get the detailed procedure to find GCD of 950, 172, 525, 491?
You can find a detailed procedure to find GCD of 950, 172, 525, 491 on our page.
3. How to find GCD of 950, 172, 525, 491 on a calculator?
You can find the GCD of 950, 172, 525, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.