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 628, 758, 65, 607 i.e. 1 largest integer that divides all the numbers equally.
GCD of 628, 758, 65, 607 is 1
GCD(628, 758, 65, 607) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 628, 758, 65, 607 is 1
GCD(628, 758, 65, 607) = 1
Given Input numbers are 628, 758, 65, 607
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 607
List of positive integer divisors of 607 that divides 607 without a remainder.
1, 607
Greatest Common Divisior
We found the divisors of 628, 758, 65, 607 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 758, 65, 607 is 1.
Therefore, GCD of numbers 628, 758, 65, 607 is 1
Given Input Data is 628, 758, 65, 607
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 628 is 2 x 2 x 157
Prime Factorization of 758 is 2 x 379
Prime Factorization of 65 is 5 x 13
Prime Factorization of 607 is 607
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(628, 758) = 238012
GCD(628, 758) = ( 628 x 758 ) / 238012
GCD(628, 758) = 476024 / 238012
GCD(628, 758) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 65) = 130
GCD(2, 65) = ( 2 x 65 ) / 130
GCD(2, 65) = 130 / 130
GCD(2, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 607
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 607) = 607
GCD(1, 607) = ( 1 x 607 ) / 607
GCD(1, 607) = 607 / 607
GCD(1, 607) = 1
GCD of 628, 758, 65, 607 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 628, 758, 65, 607?
GCD of 628, 758, 65, 607 is 1
2. Where do I get the detailed procedure to find GCD of 628, 758, 65, 607?
You can find a detailed procedure to find GCD of 628, 758, 65, 607 on our page.
3. How to find GCD of 628, 758, 65, 607 on a calculator?
You can find the GCD of 628, 758, 65, 607 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.