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 924, 752, 25, 356 i.e. 1 largest integer that divides all the numbers equally.
GCD of 924, 752, 25, 356 is 1
GCD(924, 752, 25, 356) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 924, 752, 25, 356 is 1
GCD(924, 752, 25, 356) = 1
Given Input numbers are 924, 752, 25, 356
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Greatest Common Divisior
We found the divisors of 924, 752, 25, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 752, 25, 356 is 1.
Therefore, GCD of numbers 924, 752, 25, 356 is 1
Given Input Data is 924, 752, 25, 356
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 25 is 5 x 5
Prime Factorization of 356 is 2 x 2 x 89
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(924, 752) = 173712
GCD(924, 752) = ( 924 x 752 ) / 173712
GCD(924, 752) = 694848 / 173712
GCD(924, 752) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 25) = 100
GCD(4, 25) = ( 4 x 25 ) / 100
GCD(4, 25) = 100 / 100
GCD(4, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 356
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 356) = 356
GCD(1, 356) = ( 1 x 356 ) / 356
GCD(1, 356) = 356 / 356
GCD(1, 356) = 1
GCD of 924, 752, 25, 356 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 924, 752, 25, 356?
GCD of 924, 752, 25, 356 is 1
2. Where do I get the detailed procedure to find GCD of 924, 752, 25, 356?
You can find a detailed procedure to find GCD of 924, 752, 25, 356 on our page.
3. How to find GCD of 924, 752, 25, 356 on a calculator?
You can find the GCD of 924, 752, 25, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.