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 374, 890, 156, 245 i.e. 1 largest integer that divides all the numbers equally.
GCD of 374, 890, 156, 245 is 1
GCD(374, 890, 156, 245) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 374, 890, 156, 245 is 1
GCD(374, 890, 156, 245) = 1
Given Input numbers are 374, 890, 156, 245
To find the GCD of numbers using factoring list out all the divisors of each number
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 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
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 374, 890, 156, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 890, 156, 245 is 1.
Therefore, GCD of numbers 374, 890, 156, 245 is 1
Given Input Data is 374, 890, 156, 245
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 156 is 2 x 2 x 3 x 13
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(374, 890) = 166430
GCD(374, 890) = ( 374 x 890 ) / 166430
GCD(374, 890) = 332860 / 166430
GCD(374, 890) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 156
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 156) = 156
GCD(2, 156) = ( 2 x 156 ) / 156
GCD(2, 156) = 312 / 156
GCD(2, 156) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 245) = 490
GCD(2, 245) = ( 2 x 245 ) / 490
GCD(2, 245) = 490 / 490
GCD(2, 245) = 1
GCD of 374, 890, 156, 245 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 374, 890, 156, 245?
GCD of 374, 890, 156, 245 is 1
2. Where do I get the detailed procedure to find GCD of 374, 890, 156, 245?
You can find a detailed procedure to find GCD of 374, 890, 156, 245 on our page.
3. How to find GCD of 374, 890, 156, 245 on a calculator?
You can find the GCD of 374, 890, 156, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.