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 308, 157, 78, 921 i.e. 1 largest integer that divides all the numbers equally.
GCD of 308, 157, 78, 921 is 1
GCD(308, 157, 78, 921) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 308, 157, 78, 921 is 1
GCD(308, 157, 78, 921) = 1
Given Input numbers are 308, 157, 78, 921
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Greatest Common Divisior
We found the divisors of 308, 157, 78, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 157, 78, 921 is 1.
Therefore, GCD of numbers 308, 157, 78, 921 is 1
Given Input Data is 308, 157, 78, 921
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 157 is 157
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 921 is 3 x 307
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(308, 157) = 48356
GCD(308, 157) = ( 308 x 157 ) / 48356
GCD(308, 157) = 48356 / 48356
GCD(308, 157) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 78) = 78
GCD(1, 78) = ( 1 x 78 ) / 78
GCD(1, 78) = 78 / 78
GCD(1, 78) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
GCD(1, 921) = 921 / 921
GCD(1, 921) = 1
GCD of 308, 157, 78, 921 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 308, 157, 78, 921?
GCD of 308, 157, 78, 921 is 1
2. Where do I get the detailed procedure to find GCD of 308, 157, 78, 921?
You can find a detailed procedure to find GCD of 308, 157, 78, 921 on our page.
3. How to find GCD of 308, 157, 78, 921 on a calculator?
You can find the GCD of 308, 157, 78, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.