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, 516, 669, 632 i.e. 1 largest integer that divides all the numbers equally.
GCD of 628, 516, 669, 632 is 1
GCD(628, 516, 669, 632) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 628, 516, 669, 632 is 1
GCD(628, 516, 669, 632) = 1
Given Input numbers are 628, 516, 669, 632
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 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Divisors of 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Greatest Common Divisior
We found the divisors of 628, 516, 669, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 516, 669, 632 is 1.
Therefore, GCD of numbers 628, 516, 669, 632 is 1
Given Input Data is 628, 516, 669, 632
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 516 is 2 x 2 x 3 x 43
Prime Factorization of 669 is 3 x 223
Prime Factorization of 632 is 2 x 2 x 2 x 79
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, 516) = 81012
GCD(628, 516) = ( 628 x 516 ) / 81012
GCD(628, 516) = 324048 / 81012
GCD(628, 516) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 669
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 669) = 2676
GCD(4, 669) = ( 4 x 669 ) / 2676
GCD(4, 669) = 2676 / 2676
GCD(4, 669) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 632
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 632) = 632
GCD(1, 632) = ( 1 x 632 ) / 632
GCD(1, 632) = 632 / 632
GCD(1, 632) = 1
GCD of 628, 516, 669, 632 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 628, 516, 669, 632?
GCD of 628, 516, 669, 632 is 1
2. Where do I get the detailed procedure to find GCD of 628, 516, 669, 632?
You can find a detailed procedure to find GCD of 628, 516, 669, 632 on our page.
3. How to find GCD of 628, 516, 669, 632 on a calculator?
You can find the GCD of 628, 516, 669, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.