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 45, 693, 751, 222 i.e. 1 largest integer that divides all the numbers equally.
GCD of 45, 693, 751, 222 is 1
GCD(45, 693, 751, 222) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 45, 693, 751, 222 is 1
GCD(45, 693, 751, 222) = 1
Given Input numbers are 45, 693, 751, 222
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 751
List of positive integer divisors of 751 that divides 751 without a remainder.
1, 751
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Greatest Common Divisior
We found the divisors of 45, 693, 751, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 693, 751, 222 is 1.
Therefore, GCD of numbers 45, 693, 751, 222 is 1
Given Input Data is 45, 693, 751, 222
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 751 is 751
Prime Factorization of 222 is 2 x 3 x 37
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(45, 693) = 3465
GCD(45, 693) = ( 45 x 693 ) / 3465
GCD(45, 693) = 31185 / 3465
GCD(45, 693) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 751
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 751) = 6759
GCD(9, 751) = ( 9 x 751 ) / 6759
GCD(9, 751) = 6759 / 6759
GCD(9, 751) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 222
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 222) = 222
GCD(1, 222) = ( 1 x 222 ) / 222
GCD(1, 222) = 222 / 222
GCD(1, 222) = 1
GCD of 45, 693, 751, 222 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 45, 693, 751, 222?
GCD of 45, 693, 751, 222 is 1
2. Where do I get the detailed procedure to find GCD of 45, 693, 751, 222?
You can find a detailed procedure to find GCD of 45, 693, 751, 222 on our page.
3. How to find GCD of 45, 693, 751, 222 on a calculator?
You can find the GCD of 45, 693, 751, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.