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, 412, 545, 778 i.e. 1 largest integer that divides all the numbers equally.
GCD of 738, 412, 545, 778 is 1
GCD(738, 412, 545, 778) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 738, 412, 545, 778 is 1
GCD(738, 412, 545, 778) = 1
Given Input numbers are 738, 412, 545, 778
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 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Greatest Common Divisior
We found the divisors of 738, 412, 545, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 412, 545, 778 is 1.
Therefore, GCD of numbers 738, 412, 545, 778 is 1
Given Input Data is 738, 412, 545, 778
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 412 is 2 x 2 x 103
Prime Factorization of 545 is 5 x 109
Prime Factorization of 778 is 2 x 389
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, 412) = 152028
GCD(738, 412) = ( 738 x 412 ) / 152028
GCD(738, 412) = 304056 / 152028
GCD(738, 412) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 545
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 545) = 1090
GCD(2, 545) = ( 2 x 545 ) / 1090
GCD(2, 545) = 1090 / 1090
GCD(2, 545) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 778) = 778
GCD(1, 778) = ( 1 x 778 ) / 778
GCD(1, 778) = 778 / 778
GCD(1, 778) = 1
GCD of 738, 412, 545, 778 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 738, 412, 545, 778?
GCD of 738, 412, 545, 778 is 1
2. Where do I get the detailed procedure to find GCD of 738, 412, 545, 778?
You can find a detailed procedure to find GCD of 738, 412, 545, 778 on our page.
3. How to find GCD of 738, 412, 545, 778 on a calculator?
You can find the GCD of 738, 412, 545, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.