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 429, 640, 42, 283 i.e. 1 largest integer that divides all the numbers equally.
GCD of 429, 640, 42, 283 is 1
GCD(429, 640, 42, 283) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 429, 640, 42, 283 is 1
GCD(429, 640, 42, 283) = 1
Given Input numbers are 429, 640, 42, 283
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
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 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Greatest Common Divisior
We found the divisors of 429, 640, 42, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 640, 42, 283 is 1.
Therefore, GCD of numbers 429, 640, 42, 283 is 1
Given Input Data is 429, 640, 42, 283
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 429 is 3 x 11 x 13
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 283 is 283
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(429, 640) = 274560
GCD(429, 640) = ( 429 x 640 ) / 274560
GCD(429, 640) = 274560 / 274560
GCD(429, 640) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 283
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 283) = 283
GCD(1, 283) = ( 1 x 283 ) / 283
GCD(1, 283) = 283 / 283
GCD(1, 283) = 1
GCD of 429, 640, 42, 283 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 429, 640, 42, 283?
GCD of 429, 640, 42, 283 is 1
2. Where do I get the detailed procedure to find GCD of 429, 640, 42, 283?
You can find a detailed procedure to find GCD of 429, 640, 42, 283 on our page.
3. How to find GCD of 429, 640, 42, 283 on a calculator?
You can find the GCD of 429, 640, 42, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.