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, 662, 279, 495 i.e. 1 largest integer that divides all the numbers equally.
GCD of 972, 662, 279, 495 is 1
GCD(972, 662, 279, 495) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 972, 662, 279, 495 is 1
GCD(972, 662, 279, 495) = 1
Given Input numbers are 972, 662, 279, 495
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 662
List of positive integer divisors of 662 that divides 662 without a remainder.
1, 2, 331, 662
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Greatest Common Divisior
We found the divisors of 972, 662, 279, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 662, 279, 495 is 1.
Therefore, GCD of numbers 972, 662, 279, 495 is 1
Given Input Data is 972, 662, 279, 495
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 662 is 2 x 331
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 495 is 3 x 3 x 5 x 11
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, 662) = 321732
GCD(972, 662) = ( 972 x 662 ) / 321732
GCD(972, 662) = 643464 / 321732
GCD(972, 662) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 279) = 558
GCD(2, 279) = ( 2 x 279 ) / 558
GCD(2, 279) = 558 / 558
GCD(2, 279) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 495) = 495
GCD(1, 495) = ( 1 x 495 ) / 495
GCD(1, 495) = 495 / 495
GCD(1, 495) = 1
GCD of 972, 662, 279, 495 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 972, 662, 279, 495?
GCD of 972, 662, 279, 495 is 1
2. Where do I get the detailed procedure to find GCD of 972, 662, 279, 495?
You can find a detailed procedure to find GCD of 972, 662, 279, 495 on our page.
3. How to find GCD of 972, 662, 279, 495 on a calculator?
You can find the GCD of 972, 662, 279, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.