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 757, 746, 472, 738 i.e. 1 largest integer that divides all the numbers equally.
GCD of 757, 746, 472, 738 is 1
GCD(757, 746, 472, 738) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 757, 746, 472, 738 is 1
GCD(757, 746, 472, 738) = 1
Given Input numbers are 757, 746, 472, 738
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Greatest Common Divisior
We found the divisors of 757, 746, 472, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 757, 746, 472, 738 is 1.
Therefore, GCD of numbers 757, 746, 472, 738 is 1
Given Input Data is 757, 746, 472, 738
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 757 is 757
Prime Factorization of 746 is 2 x 373
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 738 is 2 x 3 x 3 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(757, 746) = 564722
GCD(757, 746) = ( 757 x 746 ) / 564722
GCD(757, 746) = 564722 / 564722
GCD(757, 746) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 472
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
GCD(1, 472) = 472 / 472
GCD(1, 472) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 738
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
GCD(1, 738) = 738 / 738
GCD(1, 738) = 1
GCD of 757, 746, 472, 738 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 757, 746, 472, 738?
GCD of 757, 746, 472, 738 is 1
2. Where do I get the detailed procedure to find GCD of 757, 746, 472, 738?
You can find a detailed procedure to find GCD of 757, 746, 472, 738 on our page.
3. How to find GCD of 757, 746, 472, 738 on a calculator?
You can find the GCD of 757, 746, 472, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.