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 35, 178, 723, 562 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 178, 723, 562 is 1
GCD(35, 178, 723, 562) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 178, 723, 562 is 1
GCD(35, 178, 723, 562) = 1
Given Input numbers are 35, 178, 723, 562
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Greatest Common Divisior
We found the divisors of 35, 178, 723, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 178, 723, 562 is 1.
Therefore, GCD of numbers 35, 178, 723, 562 is 1
Given Input Data is 35, 178, 723, 562
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 178 is 2 x 89
Prime Factorization of 723 is 3 x 241
Prime Factorization of 562 is 2 x 281
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(35, 178) = 6230
GCD(35, 178) = ( 35 x 178 ) / 6230
GCD(35, 178) = 6230 / 6230
GCD(35, 178) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 723
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 723) = 723
GCD(1, 723) = ( 1 x 723 ) / 723
GCD(1, 723) = 723 / 723
GCD(1, 723) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 562
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 562) = 562
GCD(1, 562) = ( 1 x 562 ) / 562
GCD(1, 562) = 562 / 562
GCD(1, 562) = 1
GCD of 35, 178, 723, 562 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 35, 178, 723, 562?
GCD of 35, 178, 723, 562 is 1
2. Where do I get the detailed procedure to find GCD of 35, 178, 723, 562?
You can find a detailed procedure to find GCD of 35, 178, 723, 562 on our page.
3. How to find GCD of 35, 178, 723, 562 on a calculator?
You can find the GCD of 35, 178, 723, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.