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 365, 315, 702, 435 i.e. 1 largest integer that divides all the numbers equally.
GCD of 365, 315, 702, 435 is 1
GCD(365, 315, 702, 435) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 365, 315, 702, 435 is 1
GCD(365, 315, 702, 435) = 1
Given Input numbers are 365, 315, 702, 435
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Greatest Common Divisior
We found the divisors of 365, 315, 702, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 315, 702, 435 is 1.
Therefore, GCD of numbers 365, 315, 702, 435 is 1
Given Input Data is 365, 315, 702, 435
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 365 is 5 x 73
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 435 is 3 x 5 x 29
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(365, 315) = 22995
GCD(365, 315) = ( 365 x 315 ) / 22995
GCD(365, 315) = 114975 / 22995
GCD(365, 315) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 702) = 3510
GCD(5, 702) = ( 5 x 702 ) / 3510
GCD(5, 702) = 3510 / 3510
GCD(5, 702) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 435) = 435
GCD(1, 435) = ( 1 x 435 ) / 435
GCD(1, 435) = 435 / 435
GCD(1, 435) = 1
GCD of 365, 315, 702, 435 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 365, 315, 702, 435?
GCD of 365, 315, 702, 435 is 1
2. Where do I get the detailed procedure to find GCD of 365, 315, 702, 435?
You can find a detailed procedure to find GCD of 365, 315, 702, 435 on our page.
3. How to find GCD of 365, 315, 702, 435 on a calculator?
You can find the GCD of 365, 315, 702, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.