GCD of 972, 159, 667 Calculator
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, 159, 667 i.e. 1 largest integer that divides all the numbers equally.
GCD of 972, 159, 667 is 1
GCD(972, 159, 667) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 972, 159, 667 is 1
GCD(972, 159, 667) = 1
GCDof 972,159,667 is 1
Given Input numbers are 972, 159, 667
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 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Greatest Common Divisior
We found the divisors of 972, 159, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 159, 667 is 1.
Therefore, GCD of numbers 972, 159, 667 is 1
Given Input Data is 972, 159, 667
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 159 is 3 x 53
Prime Factorization of 667 is 23 x 29
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 972, 159, 667 using LCM Formula
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, 159) = 51516
GCD(972, 159) = ( 972 x 159 ) / 51516
GCD(972, 159) = 154548 / 51516
GCD(972, 159) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 667
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 667) = 2001
GCD(3, 667) = ( 3 x 667 ) / 2001
GCD(3, 667) = 2001 / 2001
GCD(3, 667) = 1
GCD of 972, 159, 667 is 1
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FAQs on GCD of numbers 972, 159, 667
1. What is the GCD of 972, 159, 667?
GCD of 972, 159, 667 is 1
2. Where do I get the detailed procedure to find GCD of 972, 159, 667?
You can find a detailed procedure to find GCD of 972, 159, 667 on our page.
3. How to find GCD of 972, 159, 667 on a calculator?
You can find the GCD of 972, 159, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.