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 42, 470, 669, 479 i.e. 1 largest integer that divides all the numbers equally.
GCD of 42, 470, 669, 479 is 1
GCD(42, 470, 669, 479) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 42, 470, 669, 479 is 1
GCD(42, 470, 669, 479) = 1
Given Input numbers are 42, 470, 669, 479
To find the GCD of numbers using factoring list out all the divisors of each number
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 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Divisors of 479
List of positive integer divisors of 479 that divides 479 without a remainder.
1, 479
Greatest Common Divisior
We found the divisors of 42, 470, 669, 479 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 470, 669, 479 is 1.
Therefore, GCD of numbers 42, 470, 669, 479 is 1
Given Input Data is 42, 470, 669, 479
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 669 is 3 x 223
Prime Factorization of 479 is 479
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(42, 470) = 9870
GCD(42, 470) = ( 42 x 470 ) / 9870
GCD(42, 470) = 19740 / 9870
GCD(42, 470) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 669
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 669) = 1338
GCD(2, 669) = ( 2 x 669 ) / 1338
GCD(2, 669) = 1338 / 1338
GCD(2, 669) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 479
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 479) = 479
GCD(1, 479) = ( 1 x 479 ) / 479
GCD(1, 479) = 479 / 479
GCD(1, 479) = 1
GCD of 42, 470, 669, 479 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 42, 470, 669, 479?
GCD of 42, 470, 669, 479 is 1
2. Where do I get the detailed procedure to find GCD of 42, 470, 669, 479?
You can find a detailed procedure to find GCD of 42, 470, 669, 479 on our page.
3. How to find GCD of 42, 470, 669, 479 on a calculator?
You can find the GCD of 42, 470, 669, 479 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.