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 53, 974, 678, 413 i.e. 1 largest integer that divides all the numbers equally.
GCD of 53, 974, 678, 413 is 1
GCD(53, 974, 678, 413) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 53, 974, 678, 413 is 1
GCD(53, 974, 678, 413) = 1
Given Input numbers are 53, 974, 678, 413
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Greatest Common Divisior
We found the divisors of 53, 974, 678, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 974, 678, 413 is 1.
Therefore, GCD of numbers 53, 974, 678, 413 is 1
Given Input Data is 53, 974, 678, 413
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 53 is 53
Prime Factorization of 974 is 2 x 487
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 413 is 7 x 59
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(53, 974) = 51622
GCD(53, 974) = ( 53 x 974 ) / 51622
GCD(53, 974) = 51622 / 51622
GCD(53, 974) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 678
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 678) = 678
GCD(1, 678) = ( 1 x 678 ) / 678
GCD(1, 678) = 678 / 678
GCD(1, 678) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 413) = 413
GCD(1, 413) = ( 1 x 413 ) / 413
GCD(1, 413) = 413 / 413
GCD(1, 413) = 1
GCD of 53, 974, 678, 413 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 53, 974, 678, 413?
GCD of 53, 974, 678, 413 is 1
2. Where do I get the detailed procedure to find GCD of 53, 974, 678, 413?
You can find a detailed procedure to find GCD of 53, 974, 678, 413 on our page.
3. How to find GCD of 53, 974, 678, 413 on a calculator?
You can find the GCD of 53, 974, 678, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.