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 602, 280, 59, 675 i.e. 1 largest integer that divides all the numbers equally.
GCD of 602, 280, 59, 675 is 1
GCD(602, 280, 59, 675) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 602, 280, 59, 675 is 1
GCD(602, 280, 59, 675) = 1
Given Input numbers are 602, 280, 59, 675
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Greatest Common Divisior
We found the divisors of 602, 280, 59, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 602, 280, 59, 675 is 1.
Therefore, GCD of numbers 602, 280, 59, 675 is 1
Given Input Data is 602, 280, 59, 675
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 59 is 59
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
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(602, 280) = 12040
GCD(602, 280) = ( 602 x 280 ) / 12040
GCD(602, 280) = 168560 / 12040
GCD(602, 280) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 59) = 826
GCD(14, 59) = ( 14 x 59 ) / 826
GCD(14, 59) = 826 / 826
GCD(14, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
GCD(1, 675) = 675 / 675
GCD(1, 675) = 1
GCD of 602, 280, 59, 675 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 602, 280, 59, 675?
GCD of 602, 280, 59, 675 is 1
2. Where do I get the detailed procedure to find GCD of 602, 280, 59, 675?
You can find a detailed procedure to find GCD of 602, 280, 59, 675 on our page.
3. How to find GCD of 602, 280, 59, 675 on a calculator?
You can find the GCD of 602, 280, 59, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.