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 738, 149, 186, 674 i.e. 1 largest integer that divides all the numbers equally.
GCD of 738, 149, 186, 674 is 1
GCD(738, 149, 186, 674) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 738, 149, 186, 674 is 1
GCD(738, 149, 186, 674) = 1
Given Input numbers are 738, 149, 186, 674
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Greatest Common Divisior
We found the divisors of 738, 149, 186, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 149, 186, 674 is 1.
Therefore, GCD of numbers 738, 149, 186, 674 is 1
Given Input Data is 738, 149, 186, 674
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 149 is 149
Prime Factorization of 186 is 2 x 3 x 31
Prime Factorization of 674 is 2 x 337
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(738, 149) = 109962
GCD(738, 149) = ( 738 x 149 ) / 109962
GCD(738, 149) = 109962 / 109962
GCD(738, 149) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 186
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 186) = 186
GCD(1, 186) = ( 1 x 186 ) / 186
GCD(1, 186) = 186 / 186
GCD(1, 186) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 674
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 674) = 674
GCD(1, 674) = ( 1 x 674 ) / 674
GCD(1, 674) = 674 / 674
GCD(1, 674) = 1
GCD of 738, 149, 186, 674 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 738, 149, 186, 674?
GCD of 738, 149, 186, 674 is 1
2. Where do I get the detailed procedure to find GCD of 738, 149, 186, 674?
You can find a detailed procedure to find GCD of 738, 149, 186, 674 on our page.
3. How to find GCD of 738, 149, 186, 674 on a calculator?
You can find the GCD of 738, 149, 186, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.