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 295, 120, 22, 651 i.e. 1 largest integer that divides all the numbers equally.
GCD of 295, 120, 22, 651 is 1
GCD(295, 120, 22, 651) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 295, 120, 22, 651 is 1
GCD(295, 120, 22, 651) = 1
Given Input numbers are 295, 120, 22, 651
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Greatest Common Divisior
We found the divisors of 295, 120, 22, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 120, 22, 651 is 1.
Therefore, GCD of numbers 295, 120, 22, 651 is 1
Given Input Data is 295, 120, 22, 651
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 295 is 5 x 59
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 22 is 2 x 11
Prime Factorization of 651 is 3 x 7 x 31
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(295, 120) = 7080
GCD(295, 120) = ( 295 x 120 ) / 7080
GCD(295, 120) = 35400 / 7080
GCD(295, 120) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 22) = 110
GCD(5, 22) = ( 5 x 22 ) / 110
GCD(5, 22) = 110 / 110
GCD(5, 22) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 651
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 651) = 651
GCD(1, 651) = ( 1 x 651 ) / 651
GCD(1, 651) = 651 / 651
GCD(1, 651) = 1
GCD of 295, 120, 22, 651 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 295, 120, 22, 651?
GCD of 295, 120, 22, 651 is 1
2. Where do I get the detailed procedure to find GCD of 295, 120, 22, 651?
You can find a detailed procedure to find GCD of 295, 120, 22, 651 on our page.
3. How to find GCD of 295, 120, 22, 651 on a calculator?
You can find the GCD of 295, 120, 22, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.