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 828, 137, 368, 754 i.e. 1 largest integer that divides all the numbers equally.
GCD of 828, 137, 368, 754 is 1
GCD(828, 137, 368, 754) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 828, 137, 368, 754 is 1
GCD(828, 137, 368, 754) = 1
Given Input numbers are 828, 137, 368, 754
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Greatest Common Divisior
We found the divisors of 828, 137, 368, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 137, 368, 754 is 1.
Therefore, GCD of numbers 828, 137, 368, 754 is 1
Given Input Data is 828, 137, 368, 754
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
Prime Factorization of 137 is 137
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 754 is 2 x 13 x 29
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(828, 137) = 113436
GCD(828, 137) = ( 828 x 137 ) / 113436
GCD(828, 137) = 113436 / 113436
GCD(828, 137) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 368
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 368) = 368
GCD(1, 368) = ( 1 x 368 ) / 368
GCD(1, 368) = 368 / 368
GCD(1, 368) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 754
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 754) = 754
GCD(1, 754) = ( 1 x 754 ) / 754
GCD(1, 754) = 754 / 754
GCD(1, 754) = 1
GCD of 828, 137, 368, 754 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 828, 137, 368, 754?
GCD of 828, 137, 368, 754 is 1
2. Where do I get the detailed procedure to find GCD of 828, 137, 368, 754?
You can find a detailed procedure to find GCD of 828, 137, 368, 754 on our page.
3. How to find GCD of 828, 137, 368, 754 on a calculator?
You can find the GCD of 828, 137, 368, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.