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 572, 346, 35, 686 i.e. 1 largest integer that divides all the numbers equally.
GCD of 572, 346, 35, 686 is 1
GCD(572, 346, 35, 686) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 572, 346, 35, 686 is 1
GCD(572, 346, 35, 686) = 1
Given Input numbers are 572, 346, 35, 686
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Greatest Common Divisior
We found the divisors of 572, 346, 35, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 346, 35, 686 is 1.
Therefore, GCD of numbers 572, 346, 35, 686 is 1
Given Input Data is 572, 346, 35, 686
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 346 is 2 x 173
Prime Factorization of 35 is 5 x 7
Prime Factorization of 686 is 2 x 7 x 7 x 7
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(572, 346) = 98956
GCD(572, 346) = ( 572 x 346 ) / 98956
GCD(572, 346) = 197912 / 98956
GCD(572, 346) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 35) = 70
GCD(2, 35) = ( 2 x 35 ) / 70
GCD(2, 35) = 70 / 70
GCD(2, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 686
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 686) = 686
GCD(1, 686) = ( 1 x 686 ) / 686
GCD(1, 686) = 686 / 686
GCD(1, 686) = 1
GCD of 572, 346, 35, 686 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 572, 346, 35, 686?
GCD of 572, 346, 35, 686 is 1
2. Where do I get the detailed procedure to find GCD of 572, 346, 35, 686?
You can find a detailed procedure to find GCD of 572, 346, 35, 686 on our page.
3. How to find GCD of 572, 346, 35, 686 on a calculator?
You can find the GCD of 572, 346, 35, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.