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 674, 162, 141, 221 i.e. 1 largest integer that divides all the numbers equally.
GCD of 674, 162, 141, 221 is 1
GCD(674, 162, 141, 221) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 674, 162, 141, 221 is 1
GCD(674, 162, 141, 221) = 1
Given Input numbers are 674, 162, 141, 221
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Greatest Common Divisior
We found the divisors of 674, 162, 141, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 162, 141, 221 is 1.
Therefore, GCD of numbers 674, 162, 141, 221 is 1
Given Input Data is 674, 162, 141, 221
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 674 is 2 x 337
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 141 is 3 x 47
Prime Factorization of 221 is 13 x 17
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(674, 162) = 54594
GCD(674, 162) = ( 674 x 162 ) / 54594
GCD(674, 162) = 109188 / 54594
GCD(674, 162) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 141
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 141) = 282
GCD(2, 141) = ( 2 x 141 ) / 282
GCD(2, 141) = 282 / 282
GCD(2, 141) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
GCD(1, 221) = 221 / 221
GCD(1, 221) = 1
GCD of 674, 162, 141, 221 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 674, 162, 141, 221?
GCD of 674, 162, 141, 221 is 1
2. Where do I get the detailed procedure to find GCD of 674, 162, 141, 221?
You can find a detailed procedure to find GCD of 674, 162, 141, 221 on our page.
3. How to find GCD of 674, 162, 141, 221 on a calculator?
You can find the GCD of 674, 162, 141, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.