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, 402, 356, 505 i.e. 1 largest integer that divides all the numbers equally.
GCD of 640, 402, 356, 505 is 1
GCD(640, 402, 356, 505) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 640, 402, 356, 505 is 1
GCD(640, 402, 356, 505) = 1
Given Input numbers are 640, 402, 356, 505
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 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Greatest Common Divisior
We found the divisors of 640, 402, 356, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 402, 356, 505 is 1.
Therefore, GCD of numbers 640, 402, 356, 505 is 1
Given Input Data is 640, 402, 356, 505
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 402 is 2 x 3 x 67
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 505 is 5 x 101
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, 402) = 128640
GCD(640, 402) = ( 640 x 402 ) / 128640
GCD(640, 402) = 257280 / 128640
GCD(640, 402) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 356
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 356) = 356
GCD(2, 356) = ( 2 x 356 ) / 356
GCD(2, 356) = 712 / 356
GCD(2, 356) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 505
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 505) = 1010
GCD(2, 505) = ( 2 x 505 ) / 1010
GCD(2, 505) = 1010 / 1010
GCD(2, 505) = 1
GCD of 640, 402, 356, 505 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 640, 402, 356, 505?
GCD of 640, 402, 356, 505 is 1
2. Where do I get the detailed procedure to find GCD of 640, 402, 356, 505?
You can find a detailed procedure to find GCD of 640, 402, 356, 505 on our page.
3. How to find GCD of 640, 402, 356, 505 on a calculator?
You can find the GCD of 640, 402, 356, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.