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 465, 356, 69, 995 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 356, 69, 995 is 1
GCD(465, 356, 69, 995) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 356, 69, 995 is 1
GCD(465, 356, 69, 995) = 1
Given Input numbers are 465, 356, 69, 995
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Greatest Common Divisior
We found the divisors of 465, 356, 69, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 356, 69, 995 is 1.
Therefore, GCD of numbers 465, 356, 69, 995 is 1
Given Input Data is 465, 356, 69, 995
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 69 is 3 x 23
Prime Factorization of 995 is 5 x 199
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(465, 356) = 165540
GCD(465, 356) = ( 465 x 356 ) / 165540
GCD(465, 356) = 165540 / 165540
GCD(465, 356) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 995
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 995) = 995
GCD(1, 995) = ( 1 x 995 ) / 995
GCD(1, 995) = 995 / 995
GCD(1, 995) = 1
GCD of 465, 356, 69, 995 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 356, 69, 995?
GCD of 465, 356, 69, 995 is 1
2. Where do I get the detailed procedure to find GCD of 465, 356, 69, 995?
You can find a detailed procedure to find GCD of 465, 356, 69, 995 on our page.
3. How to find GCD of 465, 356, 69, 995 on a calculator?
You can find the GCD of 465, 356, 69, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.