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 501, 311, 972, 149 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 311, 972, 149 is 1
GCD(501, 311, 972, 149) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 311, 972, 149 is 1
GCD(501, 311, 972, 149) = 1
Given Input numbers are 501, 311, 972, 149
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Greatest Common Divisior
We found the divisors of 501, 311, 972, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 311, 972, 149 is 1.
Therefore, GCD of numbers 501, 311, 972, 149 is 1
Given Input Data is 501, 311, 972, 149
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 311 is 311
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 149 is 149
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(501, 311) = 155811
GCD(501, 311) = ( 501 x 311 ) / 155811
GCD(501, 311) = 155811 / 155811
GCD(501, 311) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 972
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
GCD(1, 972) = 972 / 972
GCD(1, 972) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
GCD(1, 149) = 149 / 149
GCD(1, 149) = 1
GCD of 501, 311, 972, 149 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 311, 972, 149?
GCD of 501, 311, 972, 149 is 1
2. Where do I get the detailed procedure to find GCD of 501, 311, 972, 149?
You can find a detailed procedure to find GCD of 501, 311, 972, 149 on our page.
3. How to find GCD of 501, 311, 972, 149 on a calculator?
You can find the GCD of 501, 311, 972, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.