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 648, 642, 53, 758 i.e. 1 largest integer that divides all the numbers equally.
GCD of 648, 642, 53, 758 is 1
GCD(648, 642, 53, 758) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 648, 642, 53, 758 is 1
GCD(648, 642, 53, 758) = 1
Given Input numbers are 648, 642, 53, 758
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Greatest Common Divisior
We found the divisors of 648, 642, 53, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 642, 53, 758 is 1.
Therefore, GCD of numbers 648, 642, 53, 758 is 1
Given Input Data is 648, 642, 53, 758
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 53 is 53
Prime Factorization of 758 is 2 x 379
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(648, 642) = 69336
GCD(648, 642) = ( 648 x 642 ) / 69336
GCD(648, 642) = 416016 / 69336
GCD(648, 642) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 53) = 318
GCD(6, 53) = ( 6 x 53 ) / 318
GCD(6, 53) = 318 / 318
GCD(6, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 758
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 758) = 758
GCD(1, 758) = ( 1 x 758 ) / 758
GCD(1, 758) = 758 / 758
GCD(1, 758) = 1
GCD of 648, 642, 53, 758 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 648, 642, 53, 758?
GCD of 648, 642, 53, 758 is 1
2. Where do I get the detailed procedure to find GCD of 648, 642, 53, 758?
You can find a detailed procedure to find GCD of 648, 642, 53, 758 on our page.
3. How to find GCD of 648, 642, 53, 758 on a calculator?
You can find the GCD of 648, 642, 53, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.