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 632, 701, 300, 659 i.e. 1 largest integer that divides all the numbers equally.
GCD of 632, 701, 300, 659 is 1
GCD(632, 701, 300, 659) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 632, 701, 300, 659 is 1
GCD(632, 701, 300, 659) = 1
Given Input numbers are 632, 701, 300, 659
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Greatest Common Divisior
We found the divisors of 632, 701, 300, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 632, 701, 300, 659 is 1.
Therefore, GCD of numbers 632, 701, 300, 659 is 1
Given Input Data is 632, 701, 300, 659
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 632 is 2 x 2 x 2 x 79
Prime Factorization of 701 is 701
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 659 is 659
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(632, 701) = 443032
GCD(632, 701) = ( 632 x 701 ) / 443032
GCD(632, 701) = 443032 / 443032
GCD(632, 701) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 300
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
GCD(1, 300) = 300 / 300
GCD(1, 300) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 659
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 659) = 659
GCD(1, 659) = ( 1 x 659 ) / 659
GCD(1, 659) = 659 / 659
GCD(1, 659) = 1
GCD of 632, 701, 300, 659 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 632, 701, 300, 659?
GCD of 632, 701, 300, 659 is 1
2. Where do I get the detailed procedure to find GCD of 632, 701, 300, 659?
You can find a detailed procedure to find GCD of 632, 701, 300, 659 on our page.
3. How to find GCD of 632, 701, 300, 659 on a calculator?
You can find the GCD of 632, 701, 300, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.