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 754, 762, 93, 772 i.e. 1 largest integer that divides all the numbers equally.
GCD of 754, 762, 93, 772 is 1
GCD(754, 762, 93, 772) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 754, 762, 93, 772 is 1
GCD(754, 762, 93, 772) = 1
Given Input numbers are 754, 762, 93, 772
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Greatest Common Divisior
We found the divisors of 754, 762, 93, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 762, 93, 772 is 1.
Therefore, GCD of numbers 754, 762, 93, 772 is 1
Given Input Data is 754, 762, 93, 772
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 754 is 2 x 13 x 29
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 93 is 3 x 31
Prime Factorization of 772 is 2 x 2 x 193
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(754, 762) = 287274
GCD(754, 762) = ( 754 x 762 ) / 287274
GCD(754, 762) = 574548 / 287274
GCD(754, 762) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 93) = 186
GCD(2, 93) = ( 2 x 93 ) / 186
GCD(2, 93) = 186 / 186
GCD(2, 93) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
GCD(1, 772) = 772 / 772
GCD(1, 772) = 1
GCD of 754, 762, 93, 772 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 754, 762, 93, 772?
GCD of 754, 762, 93, 772 is 1
2. Where do I get the detailed procedure to find GCD of 754, 762, 93, 772?
You can find a detailed procedure to find GCD of 754, 762, 93, 772 on our page.
3. How to find GCD of 754, 762, 93, 772 on a calculator?
You can find the GCD of 754, 762, 93, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.