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, 544, 385, 805 i.e. 1 largest integer that divides all the numbers equally.
GCD of 972, 544, 385, 805 is 1
GCD(972, 544, 385, 805) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 972, 544, 385, 805 is 1
GCD(972, 544, 385, 805) = 1
Given Input numbers are 972, 544, 385, 805
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 544
List of positive integer divisors of 544 that divides 544 without a remainder.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Greatest Common Divisior
We found the divisors of 972, 544, 385, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 544, 385, 805 is 1.
Therefore, GCD of numbers 972, 544, 385, 805 is 1
Given Input Data is 972, 544, 385, 805
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 544 is 2 x 2 x 2 x 2 x 2 x 17
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 805 is 5 x 7 x 23
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, 544) = 132192
GCD(972, 544) = ( 972 x 544 ) / 132192
GCD(972, 544) = 528768 / 132192
GCD(972, 544) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 385) = 1540
GCD(4, 385) = ( 4 x 385 ) / 1540
GCD(4, 385) = 1540 / 1540
GCD(4, 385) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 805
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 805) = 805
GCD(1, 805) = ( 1 x 805 ) / 805
GCD(1, 805) = 805 / 805
GCD(1, 805) = 1
GCD of 972, 544, 385, 805 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 972, 544, 385, 805?
GCD of 972, 544, 385, 805 is 1
2. Where do I get the detailed procedure to find GCD of 972, 544, 385, 805?
You can find a detailed procedure to find GCD of 972, 544, 385, 805 on our page.
3. How to find GCD of 972, 544, 385, 805 on a calculator?
You can find the GCD of 972, 544, 385, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.