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 675, 657, 250, 662 i.e. 1 largest integer that divides all the numbers equally.
GCD of 675, 657, 250, 662 is 1
GCD(675, 657, 250, 662) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 675, 657, 250, 662 is 1
GCD(675, 657, 250, 662) = 1
Given Input numbers are 675, 657, 250, 662
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 662
List of positive integer divisors of 662 that divides 662 without a remainder.
1, 2, 331, 662
Greatest Common Divisior
We found the divisors of 675, 657, 250, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 657, 250, 662 is 1.
Therefore, GCD of numbers 675, 657, 250, 662 is 1
Given Input Data is 675, 657, 250, 662
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 662 is 2 x 331
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(675, 657) = 49275
GCD(675, 657) = ( 675 x 657 ) / 49275
GCD(675, 657) = 443475 / 49275
GCD(675, 657) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 250
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 250) = 2250
GCD(9, 250) = ( 9 x 250 ) / 2250
GCD(9, 250) = 2250 / 2250
GCD(9, 250) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 662
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 662) = 662
GCD(1, 662) = ( 1 x 662 ) / 662
GCD(1, 662) = 662 / 662
GCD(1, 662) = 1
GCD of 675, 657, 250, 662 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 675, 657, 250, 662?
GCD of 675, 657, 250, 662 is 1
2. Where do I get the detailed procedure to find GCD of 675, 657, 250, 662?
You can find a detailed procedure to find GCD of 675, 657, 250, 662 on our page.
3. How to find GCD of 675, 657, 250, 662 on a calculator?
You can find the GCD of 675, 657, 250, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.