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 977, 774, 10, 924 i.e. 1 largest integer that divides all the numbers equally.
GCD of 977, 774, 10, 924 is 1
GCD(977, 774, 10, 924) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 977, 774, 10, 924 is 1
GCD(977, 774, 10, 924) = 1
Given Input numbers are 977, 774, 10, 924
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Greatest Common Divisior
We found the divisors of 977, 774, 10, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 774, 10, 924 is 1.
Therefore, GCD of numbers 977, 774, 10, 924 is 1
Given Input Data is 977, 774, 10, 924
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 977 is 977
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 10 is 2 x 5
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
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(977, 774) = 756198
GCD(977, 774) = ( 977 x 774 ) / 756198
GCD(977, 774) = 756198 / 756198
GCD(977, 774) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
GCD(1, 924) = 924 / 924
GCD(1, 924) = 1
GCD of 977, 774, 10, 924 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 977, 774, 10, 924?
GCD of 977, 774, 10, 924 is 1
2. Where do I get the detailed procedure to find GCD of 977, 774, 10, 924?
You can find a detailed procedure to find GCD of 977, 774, 10, 924 on our page.
3. How to find GCD of 977, 774, 10, 924 on a calculator?
You can find the GCD of 977, 774, 10, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.