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 952, 747, 54, 824 i.e. 1 largest integer that divides all the numbers equally.
GCD of 952, 747, 54, 824 is 1
GCD(952, 747, 54, 824) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 952, 747, 54, 824 is 1
GCD(952, 747, 54, 824) = 1
Given Input numbers are 952, 747, 54, 824
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Greatest Common Divisior
We found the divisors of 952, 747, 54, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 747, 54, 824 is 1.
Therefore, GCD of numbers 952, 747, 54, 824 is 1
Given Input Data is 952, 747, 54, 824
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 824 is 2 x 2 x 2 x 103
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(952, 747) = 711144
GCD(952, 747) = ( 952 x 747 ) / 711144
GCD(952, 747) = 711144 / 711144
GCD(952, 747) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 54) = 54
GCD(1, 54) = ( 1 x 54 ) / 54
GCD(1, 54) = 54 / 54
GCD(1, 54) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 824
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 824) = 824
GCD(1, 824) = ( 1 x 824 ) / 824
GCD(1, 824) = 824 / 824
GCD(1, 824) = 1
GCD of 952, 747, 54, 824 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 952, 747, 54, 824?
GCD of 952, 747, 54, 824 is 1
2. Where do I get the detailed procedure to find GCD of 952, 747, 54, 824?
You can find a detailed procedure to find GCD of 952, 747, 54, 824 on our page.
3. How to find GCD of 952, 747, 54, 824 on a calculator?
You can find the GCD of 952, 747, 54, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.