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 700, 644, 621, 930 i.e. 1 largest integer that divides all the numbers equally.
GCD of 700, 644, 621, 930 is 1
GCD(700, 644, 621, 930) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 700, 644, 621, 930 is 1
GCD(700, 644, 621, 930) = 1
Given Input numbers are 700, 644, 621, 930
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 644
List of positive integer divisors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Greatest Common Divisior
We found the divisors of 700, 644, 621, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 644, 621, 930 is 1.
Therefore, GCD of numbers 700, 644, 621, 930 is 1
Given Input Data is 700, 644, 621, 930
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 644 is 2 x 2 x 7 x 23
Prime Factorization of 621 is 3 x 3 x 3 x 23
Prime Factorization of 930 is 2 x 3 x 5 x 31
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(700, 644) = 16100
GCD(700, 644) = ( 700 x 644 ) / 16100
GCD(700, 644) = 450800 / 16100
GCD(700, 644) = 28
Step2:
Here we consider the GCD from the above i.e. 28 as first number and the next as 621
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(28, 621) = 17388
GCD(28, 621) = ( 28 x 621 ) / 17388
GCD(28, 621) = 17388 / 17388
GCD(28, 621) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 930
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 930) = 930
GCD(1, 930) = ( 1 x 930 ) / 930
GCD(1, 930) = 930 / 930
GCD(1, 930) = 1
GCD of 700, 644, 621, 930 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 700, 644, 621, 930?
GCD of 700, 644, 621, 930 is 1
2. Where do I get the detailed procedure to find GCD of 700, 644, 621, 930?
You can find a detailed procedure to find GCD of 700, 644, 621, 930 on our page.
3. How to find GCD of 700, 644, 621, 930 on a calculator?
You can find the GCD of 700, 644, 621, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.