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 318, 735, 157, 435 i.e. 1 largest integer that divides all the numbers equally.
GCD of 318, 735, 157, 435 is 1
GCD(318, 735, 157, 435) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 318, 735, 157, 435 is 1
GCD(318, 735, 157, 435) = 1
Given Input numbers are 318, 735, 157, 435
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
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 318, 735, 157, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 735, 157, 435 is 1.
Therefore, GCD of numbers 318, 735, 157, 435 is 1
Given Input Data is 318, 735, 157, 435
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 157 is 157
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(318, 735) = 77910
GCD(318, 735) = ( 318 x 735 ) / 77910
GCD(318, 735) = 233730 / 77910
GCD(318, 735) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 157) = 471
GCD(3, 157) = ( 3 x 157 ) / 471
GCD(3, 157) = 471 / 471
GCD(3, 157) = 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 318, 735, 157, 435 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 318, 735, 157, 435?
GCD of 318, 735, 157, 435 is 1
2. Where do I get the detailed procedure to find GCD of 318, 735, 157, 435?
You can find a detailed procedure to find GCD of 318, 735, 157, 435 on our page.
3. How to find GCD of 318, 735, 157, 435 on a calculator?
You can find the GCD of 318, 735, 157, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.