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 658, 284, 42, 639 i.e. 1 largest integer that divides all the numbers equally.
GCD of 658, 284, 42, 639 is 1
GCD(658, 284, 42, 639) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 658, 284, 42, 639 is 1
GCD(658, 284, 42, 639) = 1
Given Input numbers are 658, 284, 42, 639
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
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 639
List of positive integer divisors of 639 that divides 639 without a remainder.
1, 3, 9, 71, 213, 639
Greatest Common Divisior
We found the divisors of 658, 284, 42, 639 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 284, 42, 639 is 1.
Therefore, GCD of numbers 658, 284, 42, 639 is 1
Given Input Data is 658, 284, 42, 639
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 639 is 3 x 3 x 71
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(658, 284) = 93436
GCD(658, 284) = ( 658 x 284 ) / 93436
GCD(658, 284) = 186872 / 93436
GCD(658, 284) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 42) = 42
GCD(2, 42) = ( 2 x 42 ) / 42
GCD(2, 42) = 84 / 42
GCD(2, 42) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 639
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 639) = 1278
GCD(2, 639) = ( 2 x 639 ) / 1278
GCD(2, 639) = 1278 / 1278
GCD(2, 639) = 1
GCD of 658, 284, 42, 639 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 658, 284, 42, 639?
GCD of 658, 284, 42, 639 is 1
2. Where do I get the detailed procedure to find GCD of 658, 284, 42, 639?
You can find a detailed procedure to find GCD of 658, 284, 42, 639 on our page.
3. How to find GCD of 658, 284, 42, 639 on a calculator?
You can find the GCD of 658, 284, 42, 639 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.