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, 436, 900, 245 i.e. 1 largest integer that divides all the numbers equally.
GCD of 357, 436, 900, 245 is 1
GCD(357, 436, 900, 245) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 357, 436, 900, 245 is 1
GCD(357, 436, 900, 245) = 1
Given Input numbers are 357, 436, 900, 245
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 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Greatest Common Divisior
We found the divisors of 357, 436, 900, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 436, 900, 245 is 1.
Therefore, GCD of numbers 357, 436, 900, 245 is 1
Given Input Data is 357, 436, 900, 245
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 436 is 2 x 2 x 109
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 245 is 5 x 7 x 7
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, 436) = 155652
GCD(357, 436) = ( 357 x 436 ) / 155652
GCD(357, 436) = 155652 / 155652
GCD(357, 436) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 900
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
GCD(1, 900) = 900 / 900
GCD(1, 900) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 245) = 245
GCD(1, 245) = ( 1 x 245 ) / 245
GCD(1, 245) = 245 / 245
GCD(1, 245) = 1
GCD of 357, 436, 900, 245 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 357, 436, 900, 245?
GCD of 357, 436, 900, 245 is 1
2. Where do I get the detailed procedure to find GCD of 357, 436, 900, 245?
You can find a detailed procedure to find GCD of 357, 436, 900, 245 on our page.
3. How to find GCD of 357, 436, 900, 245 on a calculator?
You can find the GCD of 357, 436, 900, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.