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 262, 169, 22, 371 i.e. 1 largest integer that divides all the numbers equally.
GCD of 262, 169, 22, 371 is 1
GCD(262, 169, 22, 371) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 262, 169, 22, 371 is 1
GCD(262, 169, 22, 371) = 1
Given Input numbers are 262, 169, 22, 371
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Greatest Common Divisior
We found the divisors of 262, 169, 22, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 169, 22, 371 is 1.
Therefore, GCD of numbers 262, 169, 22, 371 is 1
Given Input Data is 262, 169, 22, 371
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 262 is 2 x 131
Prime Factorization of 169 is 13 x 13
Prime Factorization of 22 is 2 x 11
Prime Factorization of 371 is 7 x 53
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(262, 169) = 44278
GCD(262, 169) = ( 262 x 169 ) / 44278
GCD(262, 169) = 44278 / 44278
GCD(262, 169) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 22) = 22
GCD(1, 22) = ( 1 x 22 ) / 22
GCD(1, 22) = 22 / 22
GCD(1, 22) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 371) = 371
GCD(1, 371) = ( 1 x 371 ) / 371
GCD(1, 371) = 371 / 371
GCD(1, 371) = 1
GCD of 262, 169, 22, 371 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 262, 169, 22, 371?
GCD of 262, 169, 22, 371 is 1
2. Where do I get the detailed procedure to find GCD of 262, 169, 22, 371?
You can find a detailed procedure to find GCD of 262, 169, 22, 371 on our page.
3. How to find GCD of 262, 169, 22, 371 on a calculator?
You can find the GCD of 262, 169, 22, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.