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 620, 696, 758, 345 i.e. 1 largest integer that divides all the numbers equally.
GCD of 620, 696, 758, 345 is 1
GCD(620, 696, 758, 345) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 620, 696, 758, 345 is 1
GCD(620, 696, 758, 345) = 1
Given Input numbers are 620, 696, 758, 345
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Greatest Common Divisior
We found the divisors of 620, 696, 758, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 620, 696, 758, 345 is 1.
Therefore, GCD of numbers 620, 696, 758, 345 is 1
Given Input Data is 620, 696, 758, 345
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 758 is 2 x 379
Prime Factorization of 345 is 3 x 5 x 23
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(620, 696) = 107880
GCD(620, 696) = ( 620 x 696 ) / 107880
GCD(620, 696) = 431520 / 107880
GCD(620, 696) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 758
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 758) = 1516
GCD(4, 758) = ( 4 x 758 ) / 1516
GCD(4, 758) = 3032 / 1516
GCD(4, 758) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 345
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 345) = 690
GCD(2, 345) = ( 2 x 345 ) / 690
GCD(2, 345) = 690 / 690
GCD(2, 345) = 1
GCD of 620, 696, 758, 345 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 620, 696, 758, 345?
GCD of 620, 696, 758, 345 is 1
2. Where do I get the detailed procedure to find GCD of 620, 696, 758, 345?
You can find a detailed procedure to find GCD of 620, 696, 758, 345 on our page.
3. How to find GCD of 620, 696, 758, 345 on a calculator?
You can find the GCD of 620, 696, 758, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.