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 357, 675, 194, 262 i.e. 1 largest integer that divides all the numbers equally.
GCD of 357, 675, 194, 262 is 1
GCD(357, 675, 194, 262) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 357, 675, 194, 262 is 1
GCD(357, 675, 194, 262) = 1
Given Input numbers are 357, 675, 194, 262
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
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
Divisors of 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Greatest Common Divisior
We found the divisors of 357, 675, 194, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 675, 194, 262 is 1.
Therefore, GCD of numbers 357, 675, 194, 262 is 1
Given Input Data is 357, 675, 194, 262
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 194 is 2 x 97
Prime Factorization of 262 is 2 x 131
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(357, 675) = 80325
GCD(357, 675) = ( 357 x 675 ) / 80325
GCD(357, 675) = 240975 / 80325
GCD(357, 675) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 194
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 194) = 582
GCD(3, 194) = ( 3 x 194 ) / 582
GCD(3, 194) = 582 / 582
GCD(3, 194) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 262
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 262) = 262
GCD(1, 262) = ( 1 x 262 ) / 262
GCD(1, 262) = 262 / 262
GCD(1, 262) = 1
GCD of 357, 675, 194, 262 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 357, 675, 194, 262?
GCD of 357, 675, 194, 262 is 1
2. Where do I get the detailed procedure to find GCD of 357, 675, 194, 262?
You can find a detailed procedure to find GCD of 357, 675, 194, 262 on our page.
3. How to find GCD of 357, 675, 194, 262 on a calculator?
You can find the GCD of 357, 675, 194, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.