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, 101, 43, 284 i.e. 1 largest integer that divides all the numbers equally.
GCD of 972, 101, 43, 284 is 1
GCD(972, 101, 43, 284) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 972, 101, 43, 284 is 1
GCD(972, 101, 43, 284) = 1
Given Input numbers are 972, 101, 43, 284
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 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Greatest Common Divisior
We found the divisors of 972, 101, 43, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 101, 43, 284 is 1.
Therefore, GCD of numbers 972, 101, 43, 284 is 1
Given Input Data is 972, 101, 43, 284
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 101 is 101
Prime Factorization of 43 is 43
Prime Factorization of 284 is 2 x 2 x 71
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, 101) = 98172
GCD(972, 101) = ( 972 x 101 ) / 98172
GCD(972, 101) = 98172 / 98172
GCD(972, 101) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 43) = 43
GCD(1, 43) = ( 1 x 43 ) / 43
GCD(1, 43) = 43 / 43
GCD(1, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 284) = 284
GCD(1, 284) = ( 1 x 284 ) / 284
GCD(1, 284) = 284 / 284
GCD(1, 284) = 1
GCD of 972, 101, 43, 284 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 972, 101, 43, 284?
GCD of 972, 101, 43, 284 is 1
2. Where do I get the detailed procedure to find GCD of 972, 101, 43, 284?
You can find a detailed procedure to find GCD of 972, 101, 43, 284 on our page.
3. How to find GCD of 972, 101, 43, 284 on a calculator?
You can find the GCD of 972, 101, 43, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.