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 945, 744, 54, 533 i.e. 1 largest integer that divides all the numbers equally.
GCD of 945, 744, 54, 533 is 1
GCD(945, 744, 54, 533) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 945, 744, 54, 533 is 1
GCD(945, 744, 54, 533) = 1
Given Input numbers are 945, 744, 54, 533
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
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 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Greatest Common Divisior
We found the divisors of 945, 744, 54, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 744, 54, 533 is 1.
Therefore, GCD of numbers 945, 744, 54, 533 is 1
Given Input Data is 945, 744, 54, 533
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 533 is 13 x 41
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(945, 744) = 234360
GCD(945, 744) = ( 945 x 744 ) / 234360
GCD(945, 744) = 703080 / 234360
GCD(945, 744) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 54) = 54
GCD(3, 54) = ( 3 x 54 ) / 54
GCD(3, 54) = 162 / 54
GCD(3, 54) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 533
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 533) = 1599
GCD(3, 533) = ( 3 x 533 ) / 1599
GCD(3, 533) = 1599 / 1599
GCD(3, 533) = 1
GCD of 945, 744, 54, 533 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 945, 744, 54, 533?
GCD of 945, 744, 54, 533 is 1
2. Where do I get the detailed procedure to find GCD of 945, 744, 54, 533?
You can find a detailed procedure to find GCD of 945, 744, 54, 533 on our page.
3. How to find GCD of 945, 744, 54, 533 on a calculator?
You can find the GCD of 945, 744, 54, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.