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 526, 346, 73, 153 i.e. 1 largest integer that divides all the numbers equally.
GCD of 526, 346, 73, 153 is 1
GCD(526, 346, 73, 153) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 526, 346, 73, 153 is 1
GCD(526, 346, 73, 153) = 1
Given Input numbers are 526, 346, 73, 153
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Greatest Common Divisior
We found the divisors of 526, 346, 73, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 346, 73, 153 is 1.
Therefore, GCD of numbers 526, 346, 73, 153 is 1
Given Input Data is 526, 346, 73, 153
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 526 is 2 x 263
Prime Factorization of 346 is 2 x 173
Prime Factorization of 73 is 73
Prime Factorization of 153 is 3 x 3 x 17
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(526, 346) = 90998
GCD(526, 346) = ( 526 x 346 ) / 90998
GCD(526, 346) = 181996 / 90998
GCD(526, 346) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 73) = 146
GCD(2, 73) = ( 2 x 73 ) / 146
GCD(2, 73) = 146 / 146
GCD(2, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
GCD(1, 153) = 153 / 153
GCD(1, 153) = 1
GCD of 526, 346, 73, 153 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 526, 346, 73, 153?
GCD of 526, 346, 73, 153 is 1
2. Where do I get the detailed procedure to find GCD of 526, 346, 73, 153?
You can find a detailed procedure to find GCD of 526, 346, 73, 153 on our page.
3. How to find GCD of 526, 346, 73, 153 on a calculator?
You can find the GCD of 526, 346, 73, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.