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 672, 745, 73, 763 i.e. 1 largest integer that divides all the numbers equally.
GCD of 672, 745, 73, 763 is 1
GCD(672, 745, 73, 763) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 672, 745, 73, 763 is 1
GCD(672, 745, 73, 763) = 1
Given Input numbers are 672, 745, 73, 763
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Greatest Common Divisior
We found the divisors of 672, 745, 73, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 745, 73, 763 is 1.
Therefore, GCD of numbers 672, 745, 73, 763 is 1
Given Input Data is 672, 745, 73, 763
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 745 is 5 x 149
Prime Factorization of 73 is 73
Prime Factorization of 763 is 7 x 109
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(672, 745) = 500640
GCD(672, 745) = ( 672 x 745 ) / 500640
GCD(672, 745) = 500640 / 500640
GCD(672, 745) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 763) = 763
GCD(1, 763) = ( 1 x 763 ) / 763
GCD(1, 763) = 763 / 763
GCD(1, 763) = 1
GCD of 672, 745, 73, 763 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 672, 745, 73, 763?
GCD of 672, 745, 73, 763 is 1
2. Where do I get the detailed procedure to find GCD of 672, 745, 73, 763?
You can find a detailed procedure to find GCD of 672, 745, 73, 763 on our page.
3. How to find GCD of 672, 745, 73, 763 on a calculator?
You can find the GCD of 672, 745, 73, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.