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 972, 143, 940, 958 i.e. 1 largest integer that divides all the numbers equally.
GCD of 972, 143, 940, 958 is 1
GCD(972, 143, 940, 958) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 972, 143, 940, 958 is 1
GCD(972, 143, 940, 958) = 1
Given Input numbers are 972, 143, 940, 958
To find the GCD of numbers using factoring list out all the divisors of each number
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 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Greatest Common Divisior
We found the divisors of 972, 143, 940, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 143, 940, 958 is 1.
Therefore, GCD of numbers 972, 143, 940, 958 is 1
Given Input Data is 972, 143, 940, 958
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 143 is 11 x 13
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 958 is 2 x 479
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(972, 143) = 138996
GCD(972, 143) = ( 972 x 143 ) / 138996
GCD(972, 143) = 138996 / 138996
GCD(972, 143) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 940) = 940
GCD(1, 940) = ( 1 x 940 ) / 940
GCD(1, 940) = 940 / 940
GCD(1, 940) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 958
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 958) = 958
GCD(1, 958) = ( 1 x 958 ) / 958
GCD(1, 958) = 958 / 958
GCD(1, 958) = 1
GCD of 972, 143, 940, 958 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 972, 143, 940, 958?
GCD of 972, 143, 940, 958 is 1
2. Where do I get the detailed procedure to find GCD of 972, 143, 940, 958?
You can find a detailed procedure to find GCD of 972, 143, 940, 958 on our page.
3. How to find GCD of 972, 143, 940, 958 on a calculator?
You can find the GCD of 972, 143, 940, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.