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 951, 500, 166, 749 i.e. 1 largest integer that divides all the numbers equally.
GCD of 951, 500, 166, 749 is 1
GCD(951, 500, 166, 749) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 951, 500, 166, 749 is 1
GCD(951, 500, 166, 749) = 1
Given Input numbers are 951, 500, 166, 749
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Greatest Common Divisior
We found the divisors of 951, 500, 166, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 951, 500, 166, 749 is 1.
Therefore, GCD of numbers 951, 500, 166, 749 is 1
Given Input Data is 951, 500, 166, 749
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 951 is 3 x 317
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 166 is 2 x 83
Prime Factorization of 749 is 7 x 107
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(951, 500) = 475500
GCD(951, 500) = ( 951 x 500 ) / 475500
GCD(951, 500) = 475500 / 475500
GCD(951, 500) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 166
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 166) = 166
GCD(1, 166) = ( 1 x 166 ) / 166
GCD(1, 166) = 166 / 166
GCD(1, 166) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 749
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 749) = 749
GCD(1, 749) = ( 1 x 749 ) / 749
GCD(1, 749) = 749 / 749
GCD(1, 749) = 1
GCD of 951, 500, 166, 749 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 951, 500, 166, 749?
GCD of 951, 500, 166, 749 is 1
2. Where do I get the detailed procedure to find GCD of 951, 500, 166, 749?
You can find a detailed procedure to find GCD of 951, 500, 166, 749 on our page.
3. How to find GCD of 951, 500, 166, 749 on a calculator?
You can find the GCD of 951, 500, 166, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.