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, 731, 54, 651 i.e. 1 largest integer that divides all the numbers equally.
GCD of 945, 731, 54, 651 is 1
GCD(945, 731, 54, 651) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 945, 731, 54, 651 is 1
GCD(945, 731, 54, 651) = 1
Given Input numbers are 945, 731, 54, 651
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 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
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 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Greatest Common Divisior
We found the divisors of 945, 731, 54, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 731, 54, 651 is 1.
Therefore, GCD of numbers 945, 731, 54, 651 is 1
Given Input Data is 945, 731, 54, 651
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 731 is 17 x 43
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 651 is 3 x 7 x 31
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, 731) = 690795
GCD(945, 731) = ( 945 x 731 ) / 690795
GCD(945, 731) = 690795 / 690795
GCD(945, 731) = 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 651
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 651) = 651
GCD(1, 651) = ( 1 x 651 ) / 651
GCD(1, 651) = 651 / 651
GCD(1, 651) = 1
GCD of 945, 731, 54, 651 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 945, 731, 54, 651?
GCD of 945, 731, 54, 651 is 1
2. Where do I get the detailed procedure to find GCD of 945, 731, 54, 651?
You can find a detailed procedure to find GCD of 945, 731, 54, 651 on our page.
3. How to find GCD of 945, 731, 54, 651 on a calculator?
You can find the GCD of 945, 731, 54, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.