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 164, 735, 62, 203 i.e. 1 largest integer that divides all the numbers equally.
GCD of 164, 735, 62, 203 is 1
GCD(164, 735, 62, 203) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 164, 735, 62, 203 is 1
GCD(164, 735, 62, 203) = 1
Given Input numbers are 164, 735, 62, 203
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
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 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Greatest Common Divisior
We found the divisors of 164, 735, 62, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 735, 62, 203 is 1.
Therefore, GCD of numbers 164, 735, 62, 203 is 1
Given Input Data is 164, 735, 62, 203
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 62 is 2 x 31
Prime Factorization of 203 is 7 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(164, 735) = 120540
GCD(164, 735) = ( 164 x 735 ) / 120540
GCD(164, 735) = 120540 / 120540
GCD(164, 735) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 62
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 62) = 62
GCD(1, 62) = ( 1 x 62 ) / 62
GCD(1, 62) = 62 / 62
GCD(1, 62) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 203
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 203) = 203
GCD(1, 203) = ( 1 x 203 ) / 203
GCD(1, 203) = 203 / 203
GCD(1, 203) = 1
GCD of 164, 735, 62, 203 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 164, 735, 62, 203?
GCD of 164, 735, 62, 203 is 1
2. Where do I get the detailed procedure to find GCD of 164, 735, 62, 203?
You can find a detailed procedure to find GCD of 164, 735, 62, 203 on our page.
3. How to find GCD of 164, 735, 62, 203 on a calculator?
You can find the GCD of 164, 735, 62, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.