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 778, 624, 36, 924 i.e. 2 largest integer that divides all the numbers equally.
GCD of 778, 624, 36, 924 is 2
GCD(778, 624, 36, 924) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 778, 624, 36, 924 is 2
GCD(778, 624, 36, 924) = 2
Given Input numbers are 778, 624, 36, 924
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
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 778, 624, 36, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 624, 36, 924 is 2.
Therefore, GCD of numbers 778, 624, 36, 924 is 2
Given Input Data is 778, 624, 36, 924
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 778 is 2 x 389
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(778, 624) = 242736
GCD(778, 624) = ( 778 x 624 ) / 242736
GCD(778, 624) = 485472 / 242736
GCD(778, 624) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 36) = 36
GCD(2, 36) = ( 2 x 36 ) / 36
GCD(2, 36) = 72 / 36
GCD(2, 36) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 924) = 924
GCD(2, 924) = ( 2 x 924 ) / 924
GCD(2, 924) = 1848 / 924
GCD(2, 924) = 2
GCD of 778, 624, 36, 924 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 778, 624, 36, 924?
GCD of 778, 624, 36, 924 is 2
2. Where do I get the detailed procedure to find GCD of 778, 624, 36, 924?
You can find a detailed procedure to find GCD of 778, 624, 36, 924 on our page.
3. How to find GCD of 778, 624, 36, 924 on a calculator?
You can find the GCD of 778, 624, 36, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.