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 135, 416, 747, 378 i.e. 1 largest integer that divides all the numbers equally.
GCD of 135, 416, 747, 378 is 1
GCD(135, 416, 747, 378) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 135, 416, 747, 378 is 1
GCD(135, 416, 747, 378) = 1
Given Input numbers are 135, 416, 747, 378
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Greatest Common Divisior
We found the divisors of 135, 416, 747, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 416, 747, 378 is 1.
Therefore, GCD of numbers 135, 416, 747, 378 is 1
Given Input Data is 135, 416, 747, 378
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
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(135, 416) = 56160
GCD(135, 416) = ( 135 x 416 ) / 56160
GCD(135, 416) = 56160 / 56160
GCD(135, 416) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 747
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 747) = 747
GCD(1, 747) = ( 1 x 747 ) / 747
GCD(1, 747) = 747 / 747
GCD(1, 747) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 378
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
GCD(1, 378) = 378 / 378
GCD(1, 378) = 1
GCD of 135, 416, 747, 378 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 135, 416, 747, 378?
GCD of 135, 416, 747, 378 is 1
2. Where do I get the detailed procedure to find GCD of 135, 416, 747, 378?
You can find a detailed procedure to find GCD of 135, 416, 747, 378 on our page.
3. How to find GCD of 135, 416, 747, 378 on a calculator?
You can find the GCD of 135, 416, 747, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.