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 746, 123, 931, 740 i.e. 1 largest integer that divides all the numbers equally.
GCD of 746, 123, 931, 740 is 1
GCD(746, 123, 931, 740) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 746, 123, 931, 740 is 1
GCD(746, 123, 931, 740) = 1
Given Input numbers are 746, 123, 931, 740
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Greatest Common Divisior
We found the divisors of 746, 123, 931, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 123, 931, 740 is 1.
Therefore, GCD of numbers 746, 123, 931, 740 is 1
Given Input Data is 746, 123, 931, 740
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 746 is 2 x 373
Prime Factorization of 123 is 3 x 41
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 740 is 2 x 2 x 5 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(746, 123) = 91758
GCD(746, 123) = ( 746 x 123 ) / 91758
GCD(746, 123) = 91758 / 91758
GCD(746, 123) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 931) = 931
GCD(1, 931) = ( 1 x 931 ) / 931
GCD(1, 931) = 931 / 931
GCD(1, 931) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 740
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 740) = 740
GCD(1, 740) = ( 1 x 740 ) / 740
GCD(1, 740) = 740 / 740
GCD(1, 740) = 1
GCD of 746, 123, 931, 740 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 746, 123, 931, 740?
GCD of 746, 123, 931, 740 is 1
2. Where do I get the detailed procedure to find GCD of 746, 123, 931, 740?
You can find a detailed procedure to find GCD of 746, 123, 931, 740 on our page.
3. How to find GCD of 746, 123, 931, 740 on a calculator?
You can find the GCD of 746, 123, 931, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.