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 640, 390, 143, 700 i.e. 1 largest integer that divides all the numbers equally.
GCD of 640, 390, 143, 700 is 1
GCD(640, 390, 143, 700) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 640, 390, 143, 700 is 1
GCD(640, 390, 143, 700) = 1
Given Input numbers are 640, 390, 143, 700
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
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
Greatest Common Divisior
We found the divisors of 640, 390, 143, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 390, 143, 700 is 1.
Therefore, GCD of numbers 640, 390, 143, 700 is 1
Given Input Data is 640, 390, 143, 700
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 143 is 11 x 13
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
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(640, 390) = 24960
GCD(640, 390) = ( 640 x 390 ) / 24960
GCD(640, 390) = 249600 / 24960
GCD(640, 390) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 143
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 143) = 1430
GCD(10, 143) = ( 10 x 143 ) / 1430
GCD(10, 143) = 1430 / 1430
GCD(10, 143) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
GCD(1, 700) = 700 / 700
GCD(1, 700) = 1
GCD of 640, 390, 143, 700 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 640, 390, 143, 700?
GCD of 640, 390, 143, 700 is 1
2. Where do I get the detailed procedure to find GCD of 640, 390, 143, 700?
You can find a detailed procedure to find GCD of 640, 390, 143, 700 on our page.
3. How to find GCD of 640, 390, 143, 700 on a calculator?
You can find the GCD of 640, 390, 143, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.