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 69, 648, 974, 338 i.e. 1 largest integer that divides all the numbers equally.
GCD of 69, 648, 974, 338 is 1
GCD(69, 648, 974, 338) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 69, 648, 974, 338 is 1
GCD(69, 648, 974, 338) = 1
Given Input numbers are 69, 648, 974, 338
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
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 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Greatest Common Divisior
We found the divisors of 69, 648, 974, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 648, 974, 338 is 1.
Therefore, GCD of numbers 69, 648, 974, 338 is 1
Given Input Data is 69, 648, 974, 338
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 69 is 3 x 23
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 974 is 2 x 487
Prime Factorization of 338 is 2 x 13 x 13
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(69, 648) = 14904
GCD(69, 648) = ( 69 x 648 ) / 14904
GCD(69, 648) = 44712 / 14904
GCD(69, 648) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 974
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 974) = 2922
GCD(3, 974) = ( 3 x 974 ) / 2922
GCD(3, 974) = 2922 / 2922
GCD(3, 974) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 338
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
GCD(1, 338) = 338 / 338
GCD(1, 338) = 1
GCD of 69, 648, 974, 338 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 69, 648, 974, 338?
GCD of 69, 648, 974, 338 is 1
2. Where do I get the detailed procedure to find GCD of 69, 648, 974, 338?
You can find a detailed procedure to find GCD of 69, 648, 974, 338 on our page.
3. How to find GCD of 69, 648, 974, 338 on a calculator?
You can find the GCD of 69, 648, 974, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.