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 657, 374, 602, 141 i.e. 1 largest integer that divides all the numbers equally.
GCD of 657, 374, 602, 141 is 1
GCD(657, 374, 602, 141) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 657, 374, 602, 141 is 1
GCD(657, 374, 602, 141) = 1
Given Input numbers are 657, 374, 602, 141
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
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 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Greatest Common Divisior
We found the divisors of 657, 374, 602, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 374, 602, 141 is 1.
Therefore, GCD of numbers 657, 374, 602, 141 is 1
Given Input Data is 657, 374, 602, 141
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 141 is 3 x 47
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(657, 374) = 245718
GCD(657, 374) = ( 657 x 374 ) / 245718
GCD(657, 374) = 245718 / 245718
GCD(657, 374) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 602
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 602) = 602
GCD(1, 602) = ( 1 x 602 ) / 602
GCD(1, 602) = 602 / 602
GCD(1, 602) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 141
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 141) = 141
GCD(1, 141) = ( 1 x 141 ) / 141
GCD(1, 141) = 141 / 141
GCD(1, 141) = 1
GCD of 657, 374, 602, 141 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 657, 374, 602, 141?
GCD of 657, 374, 602, 141 is 1
2. Where do I get the detailed procedure to find GCD of 657, 374, 602, 141?
You can find a detailed procedure to find GCD of 657, 374, 602, 141 on our page.
3. How to find GCD of 657, 374, 602, 141 on a calculator?
You can find the GCD of 657, 374, 602, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.