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, 531, 86, 374 i.e. 1 largest integer that divides all the numbers equally.
GCD of 628, 531, 86, 374 is 1
GCD(628, 531, 86, 374) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 628, 531, 86, 374 is 1
GCD(628, 531, 86, 374) = 1
Given Input numbers are 628, 531, 86, 374
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 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Greatest Common Divisior
We found the divisors of 628, 531, 86, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 531, 86, 374 is 1.
Therefore, GCD of numbers 628, 531, 86, 374 is 1
Given Input Data is 628, 531, 86, 374
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 531 is 3 x 3 x 59
Prime Factorization of 86 is 2 x 43
Prime Factorization of 374 is 2 x 11 x 17
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, 531) = 333468
GCD(628, 531) = ( 628 x 531 ) / 333468
GCD(628, 531) = 333468 / 333468
GCD(628, 531) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 86) = 86
GCD(1, 86) = ( 1 x 86 ) / 86
GCD(1, 86) = 86 / 86
GCD(1, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 374) = 374
GCD(1, 374) = ( 1 x 374 ) / 374
GCD(1, 374) = 374 / 374
GCD(1, 374) = 1
GCD of 628, 531, 86, 374 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 628, 531, 86, 374?
GCD of 628, 531, 86, 374 is 1
2. Where do I get the detailed procedure to find GCD of 628, 531, 86, 374?
You can find a detailed procedure to find GCD of 628, 531, 86, 374 on our page.
3. How to find GCD of 628, 531, 86, 374 on a calculator?
You can find the GCD of 628, 531, 86, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.